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Literature cited

  1. Yu. A. Bakhturin, “On an algorithm of identity,” Sibirsk. Matem. Zh.,12, No. 2, 459–462 (1971).

    Google Scholar 

  2. S. D. Berman, “On certain properties of integral group rings,” Dokl. Akad. Nauk SSSR,91, No. 1, 7–9 (1953).

    Google Scholar 

  3. S. D. Berman, “On the isomorphisms of the centers of group rings of p-groups,” Dokl. Akad. Nauk SSSR,91, No. 2, 185–187 (1953).

    Google Scholar 

  4. S. D. Berman, “On one necessary condition for the isomorphism of integral group rings,” Dopovidi Akad. Nauk Ukrain. SSR, No. 5, 313–316 (1953).

    Google Scholar 

  5. S. D. Berman, “On the equation xm=1 in an integral group ring,” Ukrainsk. Matem. Zh.,7, No. 3, 253–261 (1955).

    Google Scholar 

  6. S. D. Berman, “On certain properties of group rings over the rational number field,” Nauchn. Zap. Uzhgorodsk. Univ.,12, 88–110 (1955).

    Google Scholar 

  7. S. D. Berman, “On the isomorphism of group algebras of countable Abelian groups,” Dokl. I Soobshch. Uzhgorodsk. Univ., Ser. Fiz.-Mat. Nauk, No. 3, 56–57 (1960).

    Google Scholar 

  8. S. D. Berman, “On the isomorphism of group algebras of direct products of primary cyclic groups,” Dokl. i Soobshch. Uzhgorodsk. Univ., Ser. Fiz.-Mat. Nauk, No. 4, 76–77 (1961).

    Google Scholar 

  9. S. D. Berman, “Group algebras of countable Abelian p-groups,” Dokl. Akad. Nauk SSSR,175, No. 3, 514–516 (1967).

    Google Scholar 

  10. S. D. Berman, “Group algebras of countable Abelian p-groups,” Publ. Math.,14, No. 1–4, 365–405 (1967).

    Google Scholar 

  11. S. D. Berman and T. Zh. Mollov, “On group rings of Abelian p-groups of any cardinality,” Matem. Zametki,6, No. 4, 381–392 (1969).

    Google Scholar 

  12. S. D. Berman and A. R. Rossa, “On integral group rings,” Proc. Third Scientific Conf. Young Ukrain. Mathematicians [in Russian], Kiev (1966), p. 75.

  13. S. D. Berman and A. R. Rossa, “On integral group rings of finite and periodic groups,” in: Algebra and Mathematical Logic [in Russian], Kievsk. Univ., Kiev (1966), pp. 44–53.

    Google Scholar 

  14. S. D. Berman and A. R. Rossa, “Sylow p-subgroups of a group algebra of a numerical Abelian p-group,” Dopovidi Akad. Nauk Ukrain. SSR, A, No. 10, 870–872 (1968).

    Google Scholar 

  15. S. D. Berman and A. R. Rossa, “On a group algebra of numerical periodic Abelian groups,” Dopovidi Akad. Nauk Ukrain. SSR, A, No. 5, 387–390 (1971).

    Google Scholar 

  16. S. D. Berman and V. V. Sharaya, “On the representations of one class of discrete solvable groups over an arbitrary algebraically-closed field,” in: Algebra and Mathematical Logic [in Russian], Kievsk. Univ., Kiev (1966), pp. 54–61.

    Google Scholar 

  17. S. D. Berman and V. V. Sharaya, “On irreducible representations of an infinite direct product of finite groups,” Sibirsk. Matem. Zh.,9, No. 3, 485–489 (1968).

    Google Scholar 

  18. A. A. Bovdi, “On group rings of torsion-free groups,” Sibirsk. Matem. Zh.,1, No. 4, 555–558 (1960).

    Google Scholar 

  19. A. A. Bovdi, “On twist products of a semigroup and a ring,” Dokl. Akad. Nauk SSSR,137, No. 6, 1267–1269 (1961).

    Google Scholar 

  20. A. A. Bovdi, “On the imbedding of twist products in a division ring,” Dokl. Akad. Nauk SSSR,151, No. 6, 1253–1255 (1963).

    Google Scholar 

  21. A. A. Bovdi, “Twist products of a semigroup and a ring,” Sibirsk. Matem. Zh.,4, No. 3, 481–499 (1963).

    Google Scholar 

  22. A. A. Bovdi, “Twist products of a semigroup and a simple ring,” Sibirsk. Matem. Zh.,5, No. 2, 465–467 (1964).

    Google Scholar 

  23. A. A. Bovdi, “On the intersection of powers of the fundamental ideal of an integral group ring,” Matem. Zametki,2, No. 2, 129–132 (1967).

    Google Scholar 

  24. A. A. Bovdi, “Periodic normal divisors of the multiplicative group of a group ring. I,” Sibirsk. Matem. Zh.,9, No. 3, 495–498 (1968).

    Google Scholar 

  25. A. A. Bovdi, “Periodic normal divisors of the multiplicative group of a group ring. II,” Sibirsk. Matem. Zh.,11, No. 3, 492–511 (1970).

    Google Scholar 

  26. A. A. Bovdi, “On dimension subgroups,” Proc. Rigan Algebra Seminar [in Russian], Riga (1969), pp. 5–7.

  27. A. A. Bovdi and S. V. Mikhovski, “Idempotents of twist products,” Dokl. Akad. Nauk SSSR,195, No. 2, 263–265 (1970).

    Google Scholar 

  28. A. A. Bovdi and S. V. Mikhovski “Idempotents of twist products,” Izv. Mat. Inst. B'lg. Akad. Nauk,13, 247–263 (1972).

    Google Scholar 

  29. A. A. Bovdi and I. I. Khripta, “Normal subgroups of a multiplicative group of a ring,” Matem. Sb.,87, No. 3, 338–350 (1972).

    Google Scholar 

  30. L. A. Bokut', “Some examples of rings without a divisor of zero,” Algebra i Logika,3, No. 5, 5–28 (1964).

    Google Scholar 

  31. L. A. Bokut', “Imbedding theorems in the theory of algebra,” Coll. Math.,14, 349–353 (1966).

    Google Scholar 

  32. L. A. Bokut', “On one problem of Kaplansky,” Sibirsk. Matem. Zh.,4, No. 5, 1184–1185 (1963).

    Google Scholar 

  33. L. A. Bokut', “Some imbedding theorems for rings and semigroups,” Sibirsk. Matem. Zh.,4, No. 3, 500–518 (1963).

    Google Scholar 

  34. L. A. Bokut', “On the imbedding of rings into division rings,” Dokl. Akad. Nauk. SSSR,175, No. 4, 755–758 (1967).

    Google Scholar 

  35. E. S. Golod, “On nilalgebras and finitely approximatable p-groups,” Izv. Akad. Nauk SSSR, Ser. Matem.,28, No. 2, 273–276 (1964).

    Google Scholar 

  36. A. S. Grinberg, “On nonseparable varieties of linear pairs,” Uch. Zap. Latv. Univ.,151, 27–33 (1971).

    Google Scholar 

  37. L. Ya. Gringlaz, “On certain radicals of stable type,” Proc. Rigan Algebra Seminar [in Russian], Riga (1969), pp. 29–50.

  38. L. Ya. Gringlaz, “On locally bounded varieties of pairs,” Uch. Zap. Latv. Univ.,151, 19–26 (1971).

    Google Scholar 

  39. P. M. Gudivok, “On the isomorphism of group algebras of cyclic extensions of supersolvable groups,” Dokl. i Soobshch. Uzhgorodsk. Univ., Ser. Fiz.-Mat. Nauk,3, 58–59 (1960).

    Google Scholar 

  40. N. A. Jacobson, The Structure of Rings, Am. Math. Soc. (1964).

  41. Dnestr Notebook: Unsolved Problems in the Theory of Rings and Modules [in Russian], Redaks.-Izdat. Otdel Akad. Nauk Moldav. SSR, Kishinev (1969).

  42. Z. Z. Dyment and A.E. Zalesskii, “On the lower radical of a group ring,” Matem. Zametki,15 (1974).

  43. É. M. Zhmul' and G. Ch. Kurennoi, “On finite groups of units of an integral group ring,” Vestn. Khar'kov Univ.,26, 20–26 (1967).

    Google Scholar 

  44. M. I. Zaitseva, “Right-orderable groups,” Uch. Zap. Shuisk. Gos. Ped. Inst.,6, 205–206 (1958).

    Google Scholar 

  45. A. E. Zalesskii, “Solvable subgroups of the multiplicative group of a locally finite algebra,” Matem. Sb.,61, No. 4, 408–417 (1963).

    Google Scholar 

  46. A. E. Zalesskii, “Solvable groups and twist products,” Matem. Sb.,67, No. 1, 154–160 (1965).

    Google Scholar 

  47. A. E. Zalesskii, “Corrections to the article ‘Solvable groups and twist products’,” Matem. Sb.,71, No. 1, 143 (1966).

    Google Scholar 

  48. A. E. Zalesskii, “On the semisimplicity of a twist product,” Sibirsk. Matem. Zh.,6, No. 5, 1009–1013 (1965).

    Google Scholar 

  49. A. E. Zalesskii, “On subgroups of rings without divisors of zero,” Dokl. Akad. BSSR,10, No. 10, 728–731 (1966).

    Google Scholar 

  50. A. E. Zalesskii, “The structure of certain classes of matrix groups over a division ring,” Sibirsk. Matem. Zh.,8, No. 6, 1284–1298 (1967).

    Google Scholar 

  51. A. E. Zalesskii, “Sylow p-subgroups of a general linear group over a division ring,” Izv. Akad. Nauk SSSR, Ser. Mat.,31, No. 5, 1149–1158 (1967).

    Google Scholar 

  52. A. E. Zalesskii, “On the group of bounded automorphisms of a linear space,” Dokl. Akad. Nauk BSSR,13, No. 6, 485–488 (1969).

    Google Scholar 

  53. A. E. Zalesskii, “On the structure of finitely generated modules over a group algebra of a polycyclic group,” Dokl. Akad. Nauk BSSR,14, No. 11, 977–980 (1970).

    Google Scholar 

  54. A. E. Zalesskii, “On group rings of solvable groups,” Vestsi Akad. Nauk BSSR, Ser. Fiz.-Mat. Nauk, No. 2, 13–21 (1970).

    Google Scholar 

  55. A. E. Zalesskii, “On group rings of linear groups,” Sibirsk. Matem. Zh.,12, No. 2, 346–352 (1971).

    Google Scholar 

  56. A. E. Zalesskii, “On irreducible representations of finitely generated nilpotent torsion-free groups,” Matem. Zametki,9, No. 2, 199–210 (1971).

    Google Scholar 

  57. A. E. Zalesskii, “Subgroups of classical groups,” Sibirsk. Matem. Zh.,12, No. 1, 126–133 (1971).

    Google Scholar 

  58. A. E. Zalesskii, “On one assumption of Kaplansky,” Dokl. Akad. Nauk SSSR,203, No. 4, 749–751 (1972).

    Google Scholar 

  59. A. E. Zalesskii, “Condition for the semisimplicity of a modular group algebra of a solvable group,” Dokl. Akad. Nauk SSSR,208, No. 3, 516–519 (1973).

    Google Scholar 

  60. A. E. Zalesskii, “Jacobson radical of a group algebra of a solvable group is locally nilpotent,” Izv. Akad. Nauk SSSR, Ser. Matem.,38 (1974).

  61. U. Kal'yulaid, “On the absence of divisors of zero in certain semigroup rings,” Uzh. Zap. Tartus. Univ., No. 281, 49–57 (1971).

    Google Scholar 

  62. U. Kal'yulaid, “On the fundamental ideal of an integral group ring of a finite group,” Uch. Zap. Tartus. Univ., No. 281, 58–62 (1971).

    Google Scholar 

  63. M. I. Kargapolov, “On finitely generated linear groups,” Algebra i Logika,6, No. 5, 17–20 (1967).

    Google Scholar 

  64. A. Cartan and S. Eilenberg, Homological Algebra, Princeton Univ. Press (1956).

  65. I. B. Kozhukhov, “Chain semigroup rings,” Uspekhi Matem. Nauk,29 (1974).

  66. V. M. Kopytov, “On the representations of finitely generated groups of matrices,” Sibirsk. Matem. Nauk,11, No. 1, 91–102 (1967).

    Google Scholar 

  67. A. I. Kostrikin, “On the Burnside problem,” Izv. Akad. Nauk SSSR, Ser. Mat.,23, 3–34 (1959).

    Google Scholar 

  68. Kourovka Notebook: Unsolved Problems in the Theorm of Groups, 3rd ed. [in Russian], Izd. Sibirsk. Otdel. Akad. Nauk SSSR, Novosibirsk (1969).

  69. L. E. Klop, “Verbal ideals of group rings of free algebras of groups over a field K of characteristic 0,” Uch. Zap. Latv. Univ.,151, 34–68 (1971).

    Google Scholar 

  70. R. Crowell and R. Fox, Introduction to Knot Theory [Russian translation], Mir, Moscow (1967), 348 pp.

    Google Scholar 

  71. E. M. Kublanova, “Free stable representations and stable wreath products of groups,” Proc. Rigan Algebra Seminar [in Russian], Riga (1969), pp. 51–73.

  72. E. M. Kublanova, “Dimension subgroups and their generalizations,” Sibirsk. Matem. Zh.,12, No. 3, 554–561 (1971).

    Google Scholar 

  73. E. M. Kublanova, “Triangular polynomial groups,” Uch. Zap. Latv. Univ.,151, 79–103 (1971).

    Google Scholar 

  74. A. G. Kurosh, Theory of Groups [in Russian], Nauka, Moscow (1967).

    Google Scholar 

  75. C. W. Curtis and I. Reiner, Representation Theory of Finite Groups and Associative Algebras, Wiley (1962).

  76. J. Lambek, Lectures on Rings and Modules, Blaisdell, Waltham (1966), Vol. 8.

    Google Scholar 

  77. V. N. Latyshev, “On the Spechtianness of certain varieties of associative algebras,” Algebra i Logika,8, No. 6, 660–673 (1969).

    Google Scholar 

  78. V. N. Latyshev, “The Spechtianness of the T-ideal T={[x1,...,xn−2], [Xn−1, Xn]},” Dokl. Akad. Nauk SSSR,207, No. 4, 777–780 (1972).

    Google Scholar 

  79. E. M. Levich, “On the representation of solvable groups of matrices over a certain field of characteristic zero,” Proc. Rigan Algebra Seminar [in Russian], Riga (1969), pp. 74–97.

  80. E. M. Levich, “On the representation of solvable groups of matrices over a certain field of characteristic zero,”” Dokl. Akad. Nauk SSSR,188, No. 3, 520–521 (1969).

    Google Scholar 

  81. E. M. Levich, “On one problem of P. Hall,” Dokl. Akad. Nauk SSSR,188, No. 6, 1241–1243 (1969).

    Google Scholar 

  82. E. M. Levich, “On the representation of two-sidedly solvable groups of matrices over a field of characteristic zero,” Matem. Sb.,81, No. 3, 352–357 (1970).

    Google Scholar 

  83. E. M. Levich, “On the isomorphic imbedding of locally nilpotent groups into locally finite algebras,” Sibirsk. Matem. Zh.,12, No. 1, 226–231 (1971).

    Google Scholar 

  84. E. M. Levich, “On irreducible representations of polycyclic groups over an absolutely algebraic field of prime characteristic,” Uch. Zap. Latv. Univ.,151, 104–124 (1971).

    Google Scholar 

  85. E. M. Levich, “On torsion-free groups all of whose irreducible representations over some field are finite-dimensional,” Uch. Zap. Latv. Univ.,151, 125–139 (1971).

    Google Scholar 

  86. E. M. Levich, “On the isomorphic representation of certain classes of infinite groups over fields of characteristic zero,” Latv. Mat. Ezhegodnik,9, 151–160 (1971).

    Google Scholar 

  87. E. M. Levich and A. I. Tokarenko, “Remark on locally nilpotent torsion-free groups,” Sibirsk. Matem. Zh.,11, No. 6, 1406–1408 (1970).

    Google Scholar 

  88. S. A. Lang, Algebra, Addison-Wesley (1965).

  89. A. I. Likhgman, “On group rings of p-groups,” Izv. Akad. Nauk SSSR, Ser. Matem.,27, No. 4, 795–800 (1963).

    Google Scholar 

  90. A. I. Likhgman, “On nilpotent approximatable groups,” Sibirsk. Matem. Zh.,6, No. 4, 862–866 (1965).

    Google Scholar 

  91. A. I. Likhgman, “On the subgroups of the multiplicative group of a division ring,” Dokl. Akad. Nauk SSSR,163, No. 2, 293–294 (1965).

    Google Scholar 

  92. A. I. Mal'tsev, “On the isomorphic representation of infinite groups of matrices,” Matem. Sb.,8, 405–432 (1940).

    Google Scholar 

  93. A. I. Mal'tsev, “On representations of infinite algebras,” Matem. Sb.,13, 263–286 (1943).

    Google Scholar 

  94. A. I. Mal'tsev, “On the imbedding of group algebras into algebras with a divisor,” Dokl. Akad. Nauk SSSR,60, 1499–1501 (1948).

    Google Scholar 

  95. A. I. Mal'tsev, “Generalized nilpotent algebras and their associated groups,” Matem. Sb.,25, No. 3, 347–366 (1949).

    Google Scholar 

  96. A. I. Mal'tsev, “On one class of uniform spaces,” Izv. Akad. Nauk SSSR, Ser. Matem.,13, 9–32 (1949).

    Google Scholar 

  97. A. I. Mal'tsev, “On certain classes of infinite solvable groups,” Matem. Sb.,28, 567–588 (1951).

    Google Scholar 

  98. Yu. I. Merzlyakov, “Central series and series of commutants of matrix groups,” Algebra i Logika,3, No. 4, 49–59 (1964).

    Google Scholar 

  99. Yu. I. Merzlyakov, “On a matrix representation of automorphisms, extensions, and solvable groups,” Algebra i Logika,7, No. 3, 63–104 (1968).

    Google Scholar 

  100. Yu. I. Merzlyakov, “Integral representation of holomorphs of polycyclic groups,” Algebra i Logika,9, No. 5, 539–558 (1970).

    Google Scholar 

  101. Yu. I. Merzlyakov, “Linear groups,” J. Soviet Math.,1, No.5, 571–592 (1973).

    Google Scholar 

  102. A. S. Mikhles and R. I. Tyshkevich, “On transitive subgroups of a bounded symmetric group,” Vestsi Akad. Nauk BSSR, Ser. Fiz.-Mat. Nauk, No. 6, 39–45 (1971).

    Google Scholar 

  103. V. I. Monasturnyi, “Locally nilpotent subgroups of the multiplicative group of an algebraic division ring,” Sibirsk. Matem. Zh.,6, No. 3, 700–704 (1965).

    Google Scholar 

  104. V. I. Monasturnyi, “Solvable and periodic subgroups in division rings of fourth rank,” Sibirsk. Matem. Zh.,6, No. 1, 178–185 (1965).

    Google Scholar 

  105. V. I. Monasturnyi, “Correction to the article ‘Solvable and periodic subgroups in division rings of fourth rank’,” Sibirsk. Matem. Zh.,7, No. 4, 967 (1966).

    Google Scholar 

  106. H. Neumann, Varieties of Groups, Springer-Verlag (1967).

  107. O. M. Neroslavskii, “Lattices connected with radical rings,” Vestsi Akad. Nauk BSSR, Ser. Fiz.-Mat. Nauk, No. 2, 5–10 (1973).

    Google Scholar 

  108. A. S. Nemirovskii, “On the connection of noncommutativity with the presence of generalized nilpotents for certain classes of Banach algebras,” Vestnik Mosk. Univ., Matem., Mekhan.,26, No. 6, 3–7 (1971).

    Google Scholar 

  109. P. S. Novikov and S. I. Adyan, “On infinite periodic groups. I,” Izv. Akad. Nauk SSSR, Ser. Matem.,32, No. 1, 212–244 (1968).

    Google Scholar 

  110. P. S. Novikov and S. I. Adyan, “On infinite periodic groups. II,” Izv. Akad. Nauk SSSR, Ser. Matem.,32, No. 2, 251–524 (1968).

    Google Scholar 

  111. P. S. Novikov and S. I. Adyan, “On infinite periodic groups. III,” Izv. Akad. Nauk SSSR, Ser. Matem.,34, No. 3, 709–731 (1968).

    Google Scholar 

  112. V. P. Platonov, “Splittable linear groups,” Dokl. Akad. Nauk SSSR,151, No. 2, 286–289 (1963).

    Google Scholar 

  113. V. P. Platonov, “Engel elements and radicals in PI-algebras and topological groups,” Dokl. Akad. Nauk SSSR,161, No. 2, 288–291 (1965).

    Google Scholar 

  114. V. P. Platonov, “Theory of algebraic linear groups and periodic groups,” Izv. Akad. Nauk SSSR, Ser. Matem.,30, No. 3, 573–620 (1966).

    Google Scholar 

  115. V. P. Platonov, “On one problem for finitely generated groups,” Dokl. Akad. Nauk BSSR,12, No. 6, 492–494 (1968).

    Google Scholar 

  116. V. P. Platonov, “Linear groups with identity relations,” Dokl. Akad. Nauk BSSR,11, No. 7, 581–582 (1967).

    Google Scholar 

  117. B. I. Plotkin, “Radicals connected with representations of groups,” Dokl. Akad. Nauk SSSR,144, No. 1, 52–55 (1962).

    Google Scholar 

  118. B. I. Plotkin, “On infinite-dimensional linear groups,” Dokl. Akad. Nauk SSSR,153, No. 1, 42–45 (1963).

    Google Scholar 

  119. B. I. Plotkin, “Certain questions in the general theory of representations of groups,” Izv. Akad. Nauk SSSR, Ser. Matem.,27, No. 4, 855–882 (1963).

    Google Scholar 

  120. B. I. Plotkin, Automorphism Groups of Algebraic Systems [in Russian], Nauka, Moscow (1966), 603 pp.

    Google Scholar 

  121. B. I. Plotkin, “Stability, nilpotency, and radicals in the automorphism groups of modules,” Proc. Rigan Algebra Seminar [in Russian], Riga (1969), pp. 209–252.

  122. B. I. Plotkin, “Free representations of groups,” Proc. Rigan Algebra Seminar [in Russian], Riga (1969), pp. 191–208.

  123. B. I. Plotkin, “Triangular products of pairs,” Uch. Zap. Latv. Univ.,151, 140–170 (1971).

    Google Scholar 

  124. B. I. Plotkin, “Varieties and quasivarieties connected with group representations,” Dokl. Akad. Nauk SSSR,196, No. 3, 527–530 (1971).

    Google Scholar 

  125. B. I. Plotkin, “General theory of groups,” J. Soviet Math.,1, No. 5, 527–569 (1973).

    Google Scholar 

  126. B. I. Plotkin, “On a subgroup of varieties connected with group representations,” Dokl. Akad. Nauk SSSR,203, No. 2, 293–296 (1972).

    Google Scholar 

  127. B. I. Plotkin, “Radicals and varieties in group representations,” Latv. Mat. Ezhegodnik,10, 75–132 (1972).

    Google Scholar 

  128. B. I. Plotkin, “Remark on stable representations of nilpotent groups,” Trudy Mosk. Matem. Obshch.,29, 191–207 (1973).

    Google Scholar 

  129. B. I. Plotkin, “Group varieties and varieties of pairs, connected with group representations,” Sibirsk. Matem. Zh.,13, No. 5, 1030–1053 (1972).

    Google Scholar 

  130. B. I. Plotkin and A. S. Grinberg, “On a semigroup of varieties connected with group representations,” Sibirsk. Matem. Zh.,13, No. 4, 841–859 (1972).

    Google Scholar 

  131. I. S. Ponizovskii, “On irreducible matrix representations of finite semigroups,” Uspekhi Matem. Nauk,13, No. 6, 139–144 (1958).

    Google Scholar 

  132. I. S. Ponizovskii, “On the Frobeniusness of a semigroup algebra of a finite commutative semigroup,” Izv. Akad. Nauk SSSR, Ser. Matem.,32, No. 4, 820–836 (1968).

    Google Scholar 

  133. I. S. Ponizovskii, “On matrix representations of finite commutative semigroups,” Sibirsk. Matem. Zh.,11, No. 5, 1098–1106 (1970).

    Google Scholar 

  134. I. S. Ponizovskii, “On the finiteness of the type of a semigroup algebra of a finite completely simple semigroup,” Zap. Nauchn. Seminarov Leningrad. Otdel Matem. Inst. Akad. Nauk SSSR,28, 154–163 (1972).

    Google Scholar 

  135. V. N. Remeslennikov, “Representation of finitely generated metabelian groups of matrices,” Algebra i Logika,8, No. 1, 72–75 (1968).

    Google Scholar 

  136. V. N. Remeslennikov, “Finitary approximatability of metabelian groups,” Algebra I logika,7, No. 4, 106–113 (1968).

    Google Scholar 

  137. V. N. Remeslennikov and V. G. Sokolov, “Certain properties of Magnus imbedding,” Algebra i Logika,9, No. 5, 566–578 (1970).

    Google Scholar 

  138. A. R. Rossa, “On group rings of p-groups over the ring of p-adic integers,” Sibirsk. Matem. Nauk,9, No. 1, 220–222 (1968).

    Google Scholar 

  139. A.I. Saksonov, “On certain integer rings associated with a finite group,” Dokl. Akad. Nauk SSSR,171, 529–532 (1966).

    Google Scholar 

  140. A. I. Saksonov, “On an integral ring of characters of a finite group,” Vestsi Akad. Nauk BSSR, Ser. Fiz.-Mat., No. 3, 69–76 (1966).

    Google Scholar 

  141. A. I. Saksonov, “On group rings of finite p-groups over certain integral domains,” Dokl. Akad. Nauk BSSR,11, No. 3, 204–207 (1967).

    Google Scholar 

  142. A. I. Saksonov, “Group algebras of finite groups over number fields,” Dokl. Akad. BSSR,11, No. 4, 302–305 (1967).

    Google Scholar 

  143. A. I. Saksonov, “On group rings of finite groups. I,” Publs. Math.,18, Nos. 1–4, 1, 187–209 (1971).

    Google Scholar 

  144. L. A. Simonyan, “Certain examples of Lie groups and algebras,” Sibirsk. Matem. Zh.,12, No. 4, 837–843 (1971).

    Google Scholar 

  145. D. M. Smirnov, “On generalized solvable groups and their group rings,” Dokl. Akad. Nauk SSSR,155, No. 3, 535–537 (1964).

    Google Scholar 

  146. D. M. Smirnov, “Automorphism groups of group rings of right-orderable groups,” Algebra I Logika,4, No. 1, 31–45 (1965).

    Google Scholar 

  147. D. M. Smirnov, “On generalized solvable groups and their group rings,” Matem. Sb.,67, No. 3, 366–383 (1965).

    Google Scholar 

  148. D. M. Smirnov, “Right-orderable groups,” Algebra i Logika,5, No. 6, 41–59 (1966).

    Google Scholar 

  149. V. G. Sokolov, “Algorithm for the identity of words for one class of solvable groups,” Sibirsk. Matem. Zh.,12, No. 6, 1405–1410 (1971).

    Google Scholar 

  150. D. A. Suprunenko, Solvable and Nilpotent Linear Groups [in Russian], Belorussk. Gos. Univ., Minsk (1958).

    Google Scholar 

  151. D. A. Suprunenko, “On solvable subgroups of the multiplicative group of a division ring,” Izv. Akad. Nauk SSSR, Ser. Matem.,26, No. 4, 631–638 (1962).

    Google Scholar 

  152. D. A. Suprunenko, “The kernel of one holomorphism,” Sibirsk. Matem. Zh.,6, No. 1, 199–206 (1965).

    Google Scholar 

  153. D. A. Suprunenko, “An addition to the article ‘The kernel of one homomorphism’,” Dokl. Akad. Nauk BSSR,8, No. 10, 621–622 (1964).

    Google Scholar 

  154. D. A. Suprunenko, “On the locally nilpotent subgroup of an infinite symmetric group,” Dokl. Akad. Nauk SSSR,167, No. 2, 302–304 (1966).

    Google Scholar 

  155. D. A. Suprunenko, “On primitive solvable subgroups of an infinite symmetric group,” Izv. Akad. Nauk BSSR, Ser. Fiz.-Mat. Nauk,1, 46–49 (1966).

    Google Scholar 

  156. D. A. Suprunenko, Groups of Matrices [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  157. D. A. Suprunenko and V. I. Monastyrnyi, “On Sylow subgroups of the multiplicative group of a division ring,” Sibirsk. Matem. Zh.,6, No. 6, 1382–1387 (1965).

    Google Scholar 

  158. A. I. Tikhomirov, “One generalization of the concept of twist product,” Izv. Akad. Nauk SSSR, Ser. Matem.,5, 297–304 (1941).

    Google Scholar 

  159. S. Todorinov, “The existence of an Inverse element in one class of group algebras,” Nauchn. Tr. Vissh. Ped. Inst. Plovdiv,5, No. 3, 41–47 (1967).

    Google Scholar 

  160. A. I. Tokarenko, “Remark on finitely generated linear groups,” Proc. Rigan Algebra Seminar [in Russian], Riga (1969), pp. 280–281.

  161. A. I. Tokarenko, “On locally nilpotent groups over commutative rings,” Proc. Rigan Algebra Seminar [in Russian], Riga (1969), pp. 267–279.

  162. A. I. Tokarenko, “On linear groups over rings,” Sibirsk. Matem. Zh.,9, No. 4, 951–958 (1968).

    Google Scholar 

  163. T. S. Tol'skaya, “On cogenerating rings,” Uspekhi Matem. Nauk,26, No. 3, 209–210 (1971).

    Google Scholar 

  164. G. L. Fel'dman, “On the homological dimension of group algebras of solvable groups,” Izv. Akad. Nauk SSSR, Ser. Matem.,35, No. 6, 1225–1236 (1971).

    Google Scholar 

  165. D. I. Fuks-Rabinovich, “Example of a group with a finite number of generators and a finite number of relations, not representable isomorphically with the aid of finite-order matrices,” Dokl. Akad. Nauk SSSR,27, 425–426 (1940).

    Google Scholar 

  166. H. Heineken and I. J. Mohamed, “A group with trivial center satisfying the normalizer condition,” Matematika (Periodic Collection of Translations of Foreign Articles),13, No. 5, 26–32 (1969).

    Google Scholar 

  167. M. Hall, Jr., The Theory of Groups, Macmillan (1959), 434 pp.

  168. P. Hall, “Nilpotent groups,” Canad. Math. Congr. Summer Seminar (Univ. of Alberta, 1957), Mimeo. Lecture Notes, Canad. Math. Congr., Montreal (1957).

  169. I. I. Khripta, On the Multiplicative Group of a Group Ring [in Russian], Dissertation, Uzhgorod (1971).

  170. I. I. Khripta, “On the nilpotency of the multiplicative group of a group ring,” Matem. Zametki,11, No. 2, 191–200 (1972).

    Google Scholar 

  171. N. G. Chebotarev, Foundations of Galois Theory, Part 2 [in Russian], Moscow-Leningrad (1937).

  172. A. I. Shirshov, “On rings with identity relations,” Matem. Sb.,43, 277–283 (1957).

    Google Scholar 

  173. A. S. Amitsur, “Nil PI-rings,” Proc. Amer. Math. Soc.,2, 538–540 (1951).

    Google Scholar 

  174. A. S. Amitsur, “Finite subgroups of division rings,” Trans. Amer. Math. Soc.,80, 361–386 (1955).

    Google Scholar 

  175. A. S. Amitsur, “Algebras over infinite fields,” Proc. Amer. Math. Soc.,7, 35–48 (1956).

    Google Scholar 

  176. A. S. Amitsur, “Radicals of polynomial rings,” Canad. J. Math.,8, 355–361 (1956).

    Google Scholar 

  177. A. S. Amitsur, “A generalization of Hilbert Nullstellensatz,” Proc. Amer. Math. Soc.,8, 649–656 (1957).

    Google Scholar 

  178. A. S. Amitsur, “The radical of field extension,” Bull. Res. Council Israel,F7, No. 1, 1–10 (1957).

    Google Scholar 

  179. A. S. Amitsur, “On the semisimplicity of group algebras,” Mich. Math. J.,6, 251–253 (1959).

    Google Scholar 

  180. A. S. Amitsur, “Countable generated division algebras over nondenumerable fields,” Bull. Res. Council Israel,F7, No. 1, 39 (1957).

    Google Scholar 

  181. A. S. Amitsur, “Groups with representations of bounded degree. II,” Ill. J. Math.,5, No. 2, 198–205 (1961).

    Google Scholar 

  182. A. S. Amitsur, “On rings with identities,” J. London Math Soc.,30, 464–470 (1955).

    Google Scholar 

  183. A. S. Amitsur, “A noncommutative Hilbert basis theorem and subrings of matrices,” Trans. Amer. Math. Soc.,149, No. 1, 133–142 (1970).

    Google Scholar 

  184. A. S. Amitsur, “Embedding in matrix rings,” Pacif. J. Math.,36, No. 1, 21–29 (1971).

    Google Scholar 

  185. L. Auslander, “On a problem of Philip Hall,” Ann. Math.,86, No. 1, 112–116 (1967).

    Google Scholar 

  186. L. Auslander, “The automorphism group of a polycyclic group,” Ann. Math.,89, No. 2, 314–322 (1970).

    Google Scholar 

  187. L. Auslander and G. Baumslag, “Automorphism groups of finitely generated nilpotent groups,” Bull. Amer. Math. Soc.,73, No. 5, 716–717 (1967).

    Google Scholar 

  188. M. Auslander, “On regular group rings,” Proc. Amer. Math. Soc.,8, 658–664 (1957).

    Google Scholar 

  189. R. G. Ayoub and C. Ayoub, “On the group ring of a finite Abelian group,” Bull. Austral. Math. Soc.,1, No. 2, 245–261 (1969).

    Google Scholar 

  190. S. Bachmuth and H. Y. Mochizuki, “Cyclotomic ideals in group rings,” Bull. Amer. Math. Soc.,72, No. 6, 1018–1020 (1966).

    Google Scholar 

  191. S. Bachmuth, H. A. Heilbroun, and H. Y. Mochizuki, “Burnside metabelian groups,” Proc. Roy. Soc.,A307, No. 1490, 235–250 (1968).

    Google Scholar 

  192. S. Balcerzyk, “The global dimension of the group rings of Abelian groups. I,” Fund. Math.,55, No. 3, 293–301 (1964).

    Google Scholar 

  193. S. Balcerzyk, “The global dimension on the group rings of Abelian groups. II,” Fund. Math.,58, No. 1, 67–73 (1965).

    Google Scholar 

  194. S. Balcerzyk, “The global dimension on the group rings of Abelian groups. III,” Fund. Math.,67, No. 2, 241–250 (1970).

    Google Scholar 

  195. S. Balcerzyk, “On projective dimension of direct limit of modules,” Bull. Acad. Polon. Sci., Ser. Sci. Math. Astron. et Phys.,14, 241–244 (1966).

    Google Scholar 

  196. B. Banaschewski, “On proving the absence of zero-divisors for semigroup rings,” Canad. Math. Bull.,4, 225–231 (1961).

    Google Scholar 

  197. B. Banaschewski, “Integral group rings of finite groups,” Canad. Math. Bull.,10, No. 5, 635–642 (1967).

    Google Scholar 

  198. H. Bass, “Projective modules over free groups are free,” J. Algebra,1, No. 4, 367–373 (1964).

    Google Scholar 

  199. H. Bass, “K-theory and stable algebra,” Publ. Math. IHES, No. 22, 489–544 (1964).

    Google Scholar 

  200. H. Bass, “The Dirichlet unit theorem, induced characters and Whitehead groups of finite groups,” Topology,4, No. 4, 391–410 (1966).

    Google Scholar 

  201. H. Bass, Algebraic K-Theory, Benjamin (1968), 762 + xix pp.

  202. J. M. Bateman, “Finite group algebras with solvable unit groups,” Doct. Diss. Vanderbilt Univ. (1967), 53 pp; Dissert. Abstr.,B28, No. 10, 4191 (1968).

  203. J. M. Bateman and D. B. Coleman, “Group algebras with nilpotent unit groups,” Proc. Amer. Math. Soc.,19, No. 2, 448–449 (1968).

    Google Scholar 

  204. R. R. Bautista, “Algunos resultados sobre algebras de groupos abelianos finitos,” An. Inst. Mat. Univ. Nac. Auton. Mex.,7, 1–25 (1967).

    Google Scholar 

  205. H. Behncke, “Nilpotent elements in group algebras,” Bull. Acad. Polon. Sci., Ser. Sci. Math. Astron, et Phys.,19, No. 3, 197–198 (1971).

    Google Scholar 

  206. G. M. Bergman, “The logarithmic limit-set of an algebraic variety,” Trans. Amer. Math. Soc.,157, 459–469 (1971).

    Google Scholar 

  207. I. Bernstein, “On the dimension of modules and algebras. IX: Direct limits,” Nagoya Math. J.,13, 83–84 (1958).

    Google Scholar 

  208. P. B. Bhattacharya and S. K. Jain, “A note on the adjoint group of a ring,” Arch. Math.,21, No. 4, 366–368 (1970).

    Google Scholar 

  209. J. Buckley, “On the D-series of a finite group,” Proc. Amer. Math. Soc.,18, No. 1, 185–186 (1967).

    Google Scholar 

  210. W. D. Burgess, “On semi-perfect group rings,” Canad. Math. Bull.,12, No. 5, 645–652 (1969).

    Google Scholar 

  211. W. D. Burgess, “Rings of quotients of group rings,” Canad. J. Math.,21, No. 4, 865–875 (1969).

    Google Scholar 

  212. R. G. Burns, “Central idempotents in group rings,” Canad. Math. Bull.,13, No. 4, 527–528 (1970).

    Google Scholar 

  213. K. T. Chen, “A group ring method for finitely generated groups,” Trans. Amer. Math. Soc.,76, 275–287 (1954).

    Google Scholar 

  214. P. Civin, “Isometries of group algebras,” Proc. Amer. Math. Soc.,11, No. 6, 983–985 (1960).

    Google Scholar 

  215. W. E. Clark, “Twisted matrix units semigroup algebras,” Duke Math. J.,34, No. 3, 417–423 (1967).

    Google Scholar 

  216. D. E. Cohen, “On Abelian group algebras,” Math. Z.,105, 267–269 (1968).

    Google Scholar 

  217. J. A. Cohn and D. Livingstone, “On groups of order p3,” Canad. J. Math.,15, No. 4, 622–624 (1963).

    Google Scholar 

  218. J. A. Cohn and D. Livingstone, “On the structure of group algebras. I,” Canad. J. Math.,17, No. 4, 583–593 (1965).

    Google Scholar 

  219. P. M. Cohn, “Generalization of a theorem of Magnus,” Proc. London Math. Soc.,3, No. 2, 297–310 (1952).

    Google Scholar 

  220. P. M. Cohn, “Free ideal rings,” J. Algebra,1, No. 1, 47–69 (1964).

    Google Scholar 

  221. P. M. Cohn, “On the free product of associative rings. III,” J. Algebra,8, 376–383 (1968).

    Google Scholar 

  222. P. M. Cohn, “Correction,” J. Algebra,10, 123 (1968).

    Google Scholar 

  223. P. M. Cohn, Free Rings and Their Relations, Academic Press (1972).

  224. D. B. Coleman, “Finite groups with isomorphic group algebras,” Trans. Amer. Soc.,105, 1–8 (1962).

    Google Scholar 

  225. D. B. Coleman, “On the modular group ring of a p-group,” Proc. Amer. Math. Soc.,15, No. 4, 511–514 (1964).

    Google Scholar 

  226. D. B. Coleman, “Idempotents in group rings,” Proc. Amer. Math. Soc.,17, No. 4, 962 (1966).

    Google Scholar 

  227. D. B. Coleman, “Semigroup algebras that are group algebras,” Pacif. J. Math.,24, No. 2, 247–256 (1968).

    Google Scholar 

  228. D. B. Coleman, “On group rings,” Canad. J. Math.,22, No. 2, 249–254 (1970).

    Google Scholar 

  229. D. B. Coleman and D. S. Passman, “Units in modular group rings,” Proc. Amer. Math. Soc.,25, No. 3, 510–512 (1970).

    Google Scholar 

  230. S. B. Conlon, “Structure in representation algebras,” J. Algebra,5, No. 3, 274–279 (1967).

    Google Scholar 

  231. I. G. Connell, “On the group ring,” Canad. J. Math.,15, No. 4, 650–685 (1963).

    Google Scholar 

  232. P. Conrad, “Generalized semigroup rings. II,” Portug. Math.,18, No. 1–2, 33–53 (1959).

    Google Scholar 

  233. N. Conze and M. Vergne, “Indéaux primitifs des algèbres enveloppantes des algèbres de Lie résolubles,” C. R. Acad. Sci. Paris,272, No. 15, A985-A988 (1971).

    Google Scholar 

  234. J. Dauns, “Power series semigroup rings,” Pacif. J. Math.,34, No. 2, 365–369 (1970).

    Google Scholar 

  235. E. Deskins, “Finite Abelian groups with isomorphic group algebras,” Duke Math. J.,23, 35–40 (1956).

    Google Scholar 

  236. E. M. Dieckman, “Isomorphism of group algebras of p-groups,” Doct. Diss., Washington Univ. (1967), 67 pp; Diss. Abstr. Int.,B28, No. 10, 4194–4195 (1968).

  237. J. Dixmier, “Représentations irréductibles des algèbres de Lie nilpotentes,” An. Acad. Brasil. Ciênc.,35, 491–519 (1963).

    Google Scholar 

  238. J. Dixmier, “Représentations irréductibles des algèbres de Lie résolubles,” J. Math. Pures et Appl.,45, 1–117 (1966).

    Google Scholar 

  239. J. Dixmier, “Sur les représentations induites des algèbres de Lie,” J. Math. Pures et Appl.,50, No. 1, 1–24 (1971).

    Google Scholar 

  240. S. Druta, “Citera observatii asupra algebrei grupale a unui grup finit,” An. Sti. Univ. Iasi, Sec. 1,8, No. 1, 5–12 (1962).

    Google Scholar 

  241. S. Druta, “Asupra algebrei grupale a unui grup abelian finit,” An. Sti. Univ. Iasi, Sec. Ia,11, No. 2, 259–272 (1965).

    Google Scholar 

  242. A. J. Douglas, “The weak global dimension of the group ring of Abelian groups,” J. London Math. Soc.,36, 371–381 (1961).

    Google Scholar 

  243. R. J. Faudree, “Subgroups of multiplicative group of a division ring,” Trans. Amer. Math. Soc.,124, 41–48 (1966).

    Google Scholar 

  244. R. J. Faudree, “Locally finite and solvable subgroups of sfields,” Proc. Amer. Math. Soc.,22, No. 2, 407–413 (1969).

    Google Scholar 

  245. J.-M. Fontaine, “Sur la décomposition des algèbres de groupes,” Ann. Sci. Ecole Norm. Supér.,4, No. 1, 121–180 (1971).

    Google Scholar 

  246. E. Formanek, “A short proof of a theorem of Jennings,” Proc. Amer. Math. Soc.,26, No. 3, 405–407 (1970).

    Google Scholar 

  247. E. Formanek, “Idempotents on Noetherian group rings,” Canad. J. Math.,25, No. 2, 366–369 (1973).

    Google Scholar 

  248. E. Formanek, “A problem of Passman on semisimplicity,” Bull. London Math. Soc.,4, No. 3, 375–376 (1972).

    Google Scholar 

  249. E. Formanek, “Group rings of free products are primitive,” J. Algebra,20, No. 3, 508–511 (1973).

    Google Scholar 

  250. E. Formanek and R. L. Snider, “Primitive group rings,” Proc. Amer. Math. Soc.,36, No. 2, 357–360 (1972).

    Google Scholar 

  251. R. H. Fox, “Free differential calculus. I,” Ann. Math.,57, 547–560 (1953).

    Google Scholar 

  252. R. H. Fox, “Free differential calculus. II,” Ann. Math.,59, 196–210 (1954).

    Google Scholar 

  253. R. H. Fox, “Free differential calculus. III,” Ann. Math.,64, 407–419 (1956).

    Google Scholar 

  254. R. H. Fox, “Free differential calculus. IV,” Ann. Math.,68, 81–95 (1958).

    Google Scholar 

  255. R. H. Fox, “Free differential calculus. V,” Ann. Math.,71, 408–422 (1960).

    Google Scholar 

  256. W. Gaschutz, “Endliche Gruppen mit treuen absolutirreduziblen Darstellungen,” Math. Nachr.,12, 253–255 (1954).

    Google Scholar 

  257. R. Gilmer, “A note on semigroup rings,” Amer. Math. Mon.,76, 36–77 (1969).

    Google Scholar 

  258. J. Green and S. Stonehewer “The radicals of some group algebras,” J. Algebra,13, 137–142 (1969).

    Google Scholar 

  259. E. R. Gentile, “A note on injective group rings,” Proc. Amer. Math. Soc.,23, No. 2, 431–432 (1969).

    Google Scholar 

  260. K. W. Gruenberg, “The residual nilpotence of certain presentations of finite groups,” Arch. Math.,13, No. 6, 408–417 (1962).

    Google Scholar 

  261. K. W. Gruenberg, Cohomological Topics in Group Theory, Springer-Verlag (1970).

  262. K. W. Gruenberg and J. E. Roseblade, “The augmentation terminals of certain locally finite groups,” Canad. J. Math.,24, No. 2, 221–238 (1972).

    Google Scholar 

  263. O. Grun, “Zusammenhang zwischen Potenzbildung und Kommutatorbildung,” J. Reine und Angew. Math.,182, 158–177 (1940).

    Google Scholar 

  264. T. Gulliksen, P. Ribenboim, and T. M. Viswanathan, “An elementary note on group rings,” J. Reine und Angew. Math.,242, 148–162 (1970).

    Google Scholar 

  265. C. K. Gupta, N. D. Gupta, and A. Rehntulla, “Dichotomies in certain finitely generated soluble groups,” J. London Math. Soc.,3, No. 3, 517–525 (1971).

    Google Scholar 

  266. M. Hall, Jr., “Group rings and extension. I,” Ann. Math.,39, 220–234 (1938).

    Google Scholar 

  267. P. H. Hall, “Finiteness conditions for soluble groups,” Proc. London Math. Soc.,3, No. 4, 419–436 (1954).

    Google Scholar 

  268. P. H. Hall, “On the finiteness of certain soluble groups,” Proc. London Math. Soc.,3, No. 9, 595–622 (1959).

    Google Scholar 

  269. C. R. Hampton and D. S. Passman, “On the semisimplicity of group rings of solvable groups,” Trans. Amer. Math. Soc.,173, 289–301 (1972).

    Google Scholar 

  270. D. K. Harrison, “Infinite Abelian groups and homological methods,” Ann. Math.,69, No. 2, 266–391 (1959).

    Google Scholar 

  271. B. Hartley, “The residual nilpotence of wreath products,” Proc. London Math. Soc.,20, No. 3, 365–392 (1970).

    Google Scholar 

  272. B. Hartley and D. McDougal, “Injective modules and soluble groups satisfying the minimal condition for normal subgroups,” Bull. Austral. Math. Soc.,4, No. 1, 113–135 (1971).

    Google Scholar 

  273. A. Hausner, “On the homomorphism between generalized group algebras,” Bull. Amer. Math. Soc.,67, No. 1, 138–141 (1961).

    Google Scholar 

  274. I. N. Herstein, Noncommutative Rings, Wiley (1968), xi + 199 pp.

  275. I. N. Herstein, “Finite multiplicative subgroups in division rings,” Pacif. J. Math.,3, 121–126 (1953).

    Google Scholar 

  276. I. N. Herstein and L. W. Small, “Rings of quotients of group algebras,” J. Algebra,19, 153–155 (1971).

    Google Scholar 

  277. G. Higman, “The units of group rings,” Proc. London Math. Soc.,46, No. 2, 231–248 (1940).

    Google Scholar 

  278. D. G. Higman, “Modules with a group of operators,” Duke Math. J.,21, 369–376 (1954).

    Google Scholar 

  279. E. T. Hill, “Ideals in the modular group ring of a p-group,” Proc. Amer. Math. Soc.,28, No. 2, 389–390 (1971).

    Google Scholar 

  280. A. H. M. Hoare, “Group rings and lower central series,” J. London Math. Soc.,1, No. 1, 37–40 (1969).

    Google Scholar 

  281. R. Holvoet, “Sur les Z2-algèbres du groupe dihédral d'ordre 8 et du groupe quaternionique,” C. R. Acad. Sci. Paris,262, No. 4, A209-A210 (1966).

    Google Scholar 

  282. R. Holvoet, “Sur les algèbres modulaires des groupes non commutatifs d'ordre 12,” C. R. Acad. Sci. Paris,262, No. 12, A690-A692 (1966).

    Google Scholar 

  283. R. Holvoet, “Sur l'isomorphie d'algèbres des groupes,” Bull. Soc. Math. Belg.,20, No. 3, 264–282 (1968).

    Google Scholar 

  284. R. Holvoet, “De groepalgebra van een eindige p-groep over een veld met karakteristiek p,” Simon Stevin,42, No. 4, 157–170 (1969).

    Google Scholar 

  285. I. Hughes, “Division ring of fractions for group rings,” Commun. Pure and Appl. Math.,23, No. 2, 181–188 (1970).

    Google Scholar 

  286. A. Hulanicki, “On symmetry in group algebras,” Bull. Acad. Polon. Sci., Ser. Math. Astron. et Phys.,11, No. 1, 1–2 (1963).

    Google Scholar 

  287. M. Y. Ikeda, “On cross products of a sfield,” Nagoya Math. J.,22, 65–71 (1963).

    Google Scholar 

  288. I. M. Isaaks and D. S. Passman, “Groups with representations of bounded degree,” Canad. J. Math.,16, 299–309 (1964).

    Google Scholar 

  289. I. M. Isaaks, “A characterization of groups in terms of the degrees of their characters. I,” Pacif. J. Math.,15, 877–903 (1965).

    Google Scholar 

  290. I. M. Isaaks, “A characterization of groups in terms of the degrees of their characters. II,” Pacif. J. Math.,24, 467–510 (1968).

    Google Scholar 

  291. D. A. Jackson, “The group of units of the integral group rings of finite metabelian and finite nilpotent groups,” Quart. J. Math.,20, No. 79, 319–331 (1969).

    Google Scholar 

  292. S. K. Jain, “Self-injective group rings,” Arch. Math.,22, No. 1, 53–54 (1971).

    Google Scholar 

  293. G. J. Janusz, “Primitive idempotents in group algebras,” Proc. Amer. Math. Soc.,17, No. 2, 520–523 (1966).

    Google Scholar 

  294. S. A. Jennings, “The structure of the group ring of p-group over a modular field,” Trans. Amer. Math. Soc.,50, No. 1, 175–185 (1941).

    Google Scholar 

  295. S. A. Jennings, “The group ring of a class of infinite nilpotent groups,” Canad. J. Math.,7, 169–187 (1955).

    Google Scholar 

  296. S. A. Jennings, “Radical rings with nilpotent associated groups,” Trans. Roy. Soc. Canad,49, No. 3, 31–38 (1955).

    Google Scholar 

  297. A. V. Jeyakumar, “Group algebras of dihedral and dicyclic groups over modular fields,” J. London Math. Soc.,2, No. 2, 297–304 (1970).

    Google Scholar 

  298. I. Kaplansky, “Groups with representations of bounded degree,” Canad. J. Math.,1, 105–112 (1949).

    Google Scholar 

  299. I. Kaplansky, “Problems in the theory of rings,” Report of a conference on Linear Algebra, Washington (1957).

  300. I. Kaplansky, Fields and Rings, Lectures in Math., Univ. Chicago Press, Chicago (1969).

    Google Scholar 

  301. I. Kaplansky, “Problem in the theory of rings, revisited,” Amer. Math. Mon.,77, No. 5, 445–454 (1970).

    Google Scholar 

  302. M. Knebusch, A. Rosenberg, and R. Ware, “Structure of Witt rings, quotients of Abelian group rings and ordering of fields,” Bull. Amer. Math. Soc.,77, No. 2, 205–210 (1971).

    Google Scholar 

  303. R. I. Kruse, “On the circle group of a nilpotent ring,” Amer. Math. Mon.,77, No. 2, 168–170 (1970).

    Google Scholar 

  304. E. Kunz, “Gruppenringe und Differentiale,” Math. Ann.,163, No. 4, 346–350 (1966).

    Google Scholar 

  305. R. Lagrange and A. Rhemtulla, “A remark on the group rings of order preserving permutation groups,” Canad. Math. Bull.,11, No. 5, 679–680 (1968).

    Google Scholar 

  306. R. Larson, “Group rings over Dedekind domains. I,” J. Algebra,5, No. 3, 358–361 (1967).

    Google Scholar 

  307. R. Larson, “Group rings over Dedekind domains. II,” J. Algebra,7, No. 2, 278–279 (1967).

    Google Scholar 

  308. M. Lazard, “Sur les groupes nilpotents et les anneaux de Lie,” Ann. Sci. Ecole Norm. Sup.,71, No. 2, 101–190 (1954).

    Google Scholar 

  309. M. Lazard, “Groupes analytiques p-adiques,” Publ. Math. IHES,26, 1–219 (1965).

    Google Scholar 

  310. A. Learner, “The embedding of a class of polycyclic groups,” Proc. London Math. Soc.,12, No. 47, 496–510 (1962).

    Google Scholar 

  311. J. C. Lennox and J. E. Roseblade, “Centrality in finitely generated soluble groups,” J. Algebra,16, No. 3, 399–435 (1970).

    Google Scholar 

  312. J. Lewin, “Free modules over free algebras and free group algebras: the Schreier technique,” Trans. Amer. Math. Soc.,145, 455–465 (1969).

    Google Scholar 

  313. J. Lewin, “On the intersection of augmentation ideals,” J. Algebra,16, No. 4, 519–522 (1970).

    Google Scholar 

  314. L. Lombardo-Radici, Rend. Semin. Mat. Univ. Roma, (4),2, 312–320 (1938).

    Google Scholar 

  315. G. Losey, “On dimension subgroups,” Trans. Amer. Math. Soc.,97, 474–486 (1960).

    Google Scholar 

  316. G. Losey, “On group algebras of p-groups,” Mich. Math. J.,7, No. 3, 237–240 (1960).

    Google Scholar 

  317. G. Losey, “Are one-sided inverses two-sided inverses in a matrix ring over a group ring?” Canad. Math. Bull.,13, No. 4, 475–479 (1970).

    Google Scholar 

  318. R. Lyndon, “Cohomology theory of group with a single defined relation,” Ann. Math.,52, 650–665 (1950).

    Google Scholar 

  319. W. Magnus, “Beziehungen zwischen Gruppen und Idealen in einen speziellen Ring,” Math. Ann.,111, 259–280 (1935).

    Google Scholar 

  320. W. Magnus, “Über Beziehungen zwischen höheren Kommutatoren,” J. Reine und Angew. Math.,177, 105–115 (1937).

    Google Scholar 

  321. W. Magnus, “On a theorem of Marshall Hall,” Ann. Math.,40, 764–768 (1939).

    Google Scholar 

  322. W. Magnus, “Über Gruppen und zugeordnete liesche Ringe,” J. Reine und Agnew. Math.,182, 142–149 (1940).

    Google Scholar 

  323. M. P. Malliavin, “Sur les anneaux des grupes FP self-injectifs,” C. R. Acad. Sci. Paris,273, No. 13, 88–91 (1971).

    Google Scholar 

  324. W. May, “Commutative group algebras,” Trans. Amer. Math. Soc.,136, 139–149 (1969).

    Google Scholar 

  325. W. May, “Invariants for commutative group algebras,” Ill. J. Math.,15, No. 3, 525–531 (1971).

    Google Scholar 

  326. W. May, “Group algebras over finitely generated rings,” J. Algebra,10, No. 5, 1–100 (1973).

    Google Scholar 

  327. J. C. McConnel and M. E. Sweedler, “Simplicity of smash products,” Proc. London Math. Soc.,23, No. 2, 251–266 (1971).

    Google Scholar 

  328. J. McLaughlin, “A note on regular group rings,” Mich. Math. J.,5, 127–128 (1958).

    Google Scholar 

  329. G. R. Mason, “On self-injective group,” Proc. Amer. Math. Soc.,32, No. 1, 85–86 (1972).

    Google Scholar 

  330. W. Muller, “Über die Grosse des Radicals in Gruppenringen über der symmetrischen Gruppe,” Manuscr. Math.,4, No. 1, 39–60 (1971).

    Google Scholar 

  331. J. N. Mital, “On residual nilpotence,” J. London Math. Soc.,2, No. 6, 337–345 (1970).

    Google Scholar 

  332. M. S. Montgomery, “Left and right inverses in group algebras,” Bull. Amer. Math. Soc.,75, No. 3, 539–540 (1969).

    Google Scholar 

  333. S. Moran, “Dimension subgroups modulo n,” Proc. Cambridge Phil. Soc.,68, No. 3, 579–582 (1970).

    Google Scholar 

  334. R. Morand, “Une propriété des algèbres des groupes nilpotents finis,” C. R. Acad. Sci. Paris,272, No. 19, A1227-A1229 (1971).

    Google Scholar 

  335. K. Motose, “A note on perfect rings and semiperfect rings,” J. Fac. Sci. Shinsku Univ.,4, No. 2, 67–69 (1969).

    Google Scholar 

  336. K. Motose, “On group rings over semi-primary rings,” Math. J. Okayama Univ.,14, No. 1, 23–26 (1969).

    Google Scholar 

  337. K. Motose and H. Tominaga, “Group rings with nilpotent unit groups,” Math. J. Okayama Univ.,14, No. 1, 43–46 (1969).

    Google Scholar 

  338. J. Motose and H. Tominaga, “Group rings with solvable unit groups,” Math. J. Okayama Univ.,15, No. 1, 37–40 (1971).

    Google Scholar 

  339. W. Müller, “Über die Grösse des Radikals in Gruppenringen über der symmetrischen Gruppe,” Manuscr. Math.,4, No. 1, 39–60 (1971).

    Google Scholar 

  340. W. D. Munn, “On semigroup algebras,” Proc. Cambridge Phil. Soc.,51, No. 1, 1–15 (1955).

    Google Scholar 

  341. B. H. Neumann, “On ordered division rings,” Trans. Amer. Math. Soc.,66, 202–252 (1949).

    Google Scholar 

  342. Y. Nouazé and P. Gabriel, “Idéaux premiers de l'algèbra enveloppante d'une algèbre de Lie nilpotente,” J. Algebra,6, No. 1, 77–99 (1967).

    Google Scholar 

  343. T. Obayashi, “Solvable groups with isomorphic group algebras,” J. Math. Soc. Japan,18, No. 4, 394–397 (1966).

    Google Scholar 

  344. T. Obayashi, “Integral group rings of finite groups,” Osaka J. Math.,7, No. 2, 253–266 (1970).

    Google Scholar 

  345. A. H. Ortiz, “A construction in general radical theory,” Canad. J. Math.,22, No. 6, 1097–1100 (1970).

    Google Scholar 

  346. M. Orzech and L. Ribes, “Residual finiteness and the Hopf property in rings,” J. Algebra,15, No. 1, 81–88 (1970).

    Google Scholar 

  347. B. Osofsky, “Upper bounds on homological dimensions,” Nagoya Math. J.,32, 315–322 (1968).

    Google Scholar 

  348. C. Papakyriakopoulos, “On Dehn's lemma and the asphericity of knots,” Ann. Math.,66, 1–26 (1957).

    Google Scholar 

  349. M. J. Parker, “Ideals in Abelian group rings,” J. London Math. Soc.,2, No. 2, 361–365 (1970).

    Google Scholar 

  350. M. M. Parmenter, “On a theorem of Bovdi,” Canad. J. Math.,23, No. 5, 929–932 (1971).

    Google Scholar 

  351. I. B. S. Passi, “Polynomial maps on groups,” J. Algebra,9, No. 2, 121–151 (1968).

    Google Scholar 

  352. I. B. S. Passi, “Dimension subgroups,” J. Algebra,9, No. 2, 152–182 (1968).

    Google Scholar 

  353. I. B. S. Passi, “Polynomial functors,” Proc. Cambridge Phil. Soc.,66, No. 3, 505–512 (1969).

    Google Scholar 

  354. I. B. S. Passi, “Induced central extensions,” J. Algebra,16, No. 1, 27–39 (1970).

    Google Scholar 

  355. D. S. Passman, “Nil ideals in group rings,” Mich. Math. J.,9, No. 4, 375–384 (1962).

    Google Scholar 

  356. D. S. Passman, “On groups with enough finite representations,” Proc. Amer. Math. Soc.,14, No. 5, 782–787 (1963).

    Google Scholar 

  357. D. S. Passman, “Isomorphic groups and group rings,” Pacif. J. Math.,15, No. 2, 561–583 (1965).

    Google Scholar 

  358. D. S. Passman, “The group algebras of groups of order p4 over a modular field,” Mich. Math. J.,12, No. 4, 405–415 (1965).

    Google Scholar 

  359. D. S. Passman, “Character kernels of discrete groups,” Proc. Amer. Math. Soc.,17, No. 2, 487–492 (1966).

    Google Scholar 

  360. D. S. Passman, “Central idempotents in group rings,” Proc. Amer. Math. Soc.,22, No. 2, 555–556 (1969).

    Google Scholar 

  361. D. S. Passman, “On the semisimplicity of modular group algebras. I,” Proc. Amer. Math. Soc.,20, No. 2, 515–519 (1969).

    Google Scholar 

  362. D. S. Passman, “On the semisimplicity of modular group algebras. II,” Canad. J. Math.,21, No. 5, 1137–1145 (1969).

    Google Scholar 

  363. D. S. Passman, “Twisted group algebras of discrete groups,” Proc. London Math. Soc.,21, 219–231 (1970).

    Google Scholar 

  364. D. S. Passman, “On the semisimplicity of twisted group algebras,” Proc. Amer. Math. Soc.,25, No. 1, 161–166 (1970).

    Google Scholar 

  365. D. S. Passman, “Radicals of twisted group rings,” Proc. London Math. Soc.,20, No. 3, 409–437 (1970).

    Google Scholar 

  366. D. S. Passman, “Radicals of twisted group rings. II,” Proc. London Math. Soc.,22, No. 4, 633–651 (1971).

    Google Scholar 

  367. D. S. Passman, “Idempotents in group rings,” Proc. Amer. Math. Soc.,28, No. 2, 371–374 (1971).

    Google Scholar 

  368. D. S. Passman, Infinite Group Rings, Marcel Dekker (1971).

  369. D. S. Passman, “Linear identities in group rings,” Pacif. J. Math.,36, No. 2, 457–484 (1971).

    Google Scholar 

  370. D. S. Passman, “Linear identities in group rings. II,” Pacif. J. Math.,36, No. 2, 485–505 (1971).

    Google Scholar 

  371. D. S. Passman, “Group rings of infinite groups,” Proc. Symp. Pure Math., Vol. 21, Amer. Math. Soc., Providence, R. I. (1971), pp. 117–121.

    Google Scholar 

  372. D. S. Passman, “Group rings satisfying a polynomial identity. I,” J. Algebra,20, No. 1, 103–117 (1972).

    Google Scholar 

  373. D. S. Passman, “Group rings satisfying a polynomial identity. II,” Proc. Amer. Math. Soc.,31, No. 1, 87–90 (1972).

    Google Scholar 

  374. D. S. Passman, “Group rings satisfying a polynomial identity. III,” Proc. Amer. Math. Soc.,31, (1972).

  375. D. S. Passman, “Minimal ideals in group rings,” Proc. Amer. Math. Soc.,31, No. 1, 81–86 (1972).

    Google Scholar 

  376. D. S. Passman, “Some isolated subsets of infinite solvable groups,” Pacif. J. Math.,45, No. 1, 313–319 (1973).

    Google Scholar 

  377. D. S. Passman, “On the ring of quotients of a group ring,” Proc. Amer. Math. Soc.,33, No. 2, 221–225 (1972).

    Google Scholar 

  378. D. S. Passman, “On the simplicity of group rings of linear groups,” Pacif. J. Math.,47, No. 1, 221–228 (1973).

    Google Scholar 

  379. D. S. Passman, “Primitive group rings,” Preprint, Pacif. J. Math. (1974).

  380. D. S. Passman, “A new radical of group rings?” J. Algebra (1974).

  381. D. S. Passman, “The semisimplicity problem for group rings,” Preprint, McGill Univ. (1973), pp. 500–600.

  382. D. S. Passman, I. B. S. Passi, and S. K. Sehgal, “Lie solvable group rings,” Canad. J. Math.,25, No. 4, 748–758 (1973).

    Google Scholar 

  383. S. Perlis and G. L. Walker, “Abelian group algebras of finite orders,” Trans. Amer. Math. Soc.,68, 420–426 (1950).

    Google Scholar 

  384. D. Quillen, “On the associated graded ring of a group ring,” J. Algebra,10, No. 4, 411–418 (1968).

    Google Scholar 

  385. D. Quillen, “On the endomorphism ring of a simple module over an enveloping algebra,” Proc. Amer. Math. Soc.,21, No. 1, 171–172 (1969).

    Google Scholar 

  386. G. F. F. Raggi, “Las unidades en anillos de grupo. I,” An. Inst. Mat. Univ. Nac. Auton. Mex.,7, 27–35 (1967).

    Google Scholar 

  387. G. F. F. Raggi, “Las unidades en anillos de grupo. II,” An. Inst. Mat. Univ. Nac. Auton. Mex.,8, 91–103 (1968).

    Google Scholar 

  388. M. Rais, “Sur les idéaux primitifs des algèbres enveloppantes,” C. R. Acad. Sci. Paris,272, No. 15, A989-A991 (1971).

    Google Scholar 

  389. G. Renault, “Sur les anneaux des groupes,” C. R. Acad. Sci. Paris,273, No. 2, A84-A87 (1971).

    Google Scholar 

  390. G. Renault, Résultats Récents sur les Anneaux de Groupes, Pubis. Math d'Orsay (1970/1971).

  391. P. Ribenboim, Rings and Modules, Wiley (1969).

  392. C. E. Rickart, “The uniqueness of norm problem in Banach algebras,” Ann. Math.,51, 615–630 (1950).

    Google Scholar 

  393. D. Rider, “Central idempotents in group algebras,” Bull. Amer. Math. Soc.,72, No. 6, 1000–1002 (1966).

    Google Scholar 

  394. D. Rider, “Central idempotent measure on STN groups,” Duke Math. J.,38, No. 1, 187–191 (1971).

    Google Scholar 

  395. M. A. Riefel, “A characterization of group algebras of finite groups,” Pacif. J. Math.,16, No. 2, 347–363 (1966).

    Google Scholar 

  396. J. E. Roseblade, “The integral group rings of hypercentral groups,” Bull. London Math. Soc.,3, No. 9, 351–355 (1971).

    Google Scholar 

  397. M. Rosen, “The Jacobson radical of a group algebra,” Mich. Math. J.,13, No. 4, 477–480 (1966).

    Google Scholar 

  398. Alan Rosenberg, “On the primitivity of the group algebras,” Canad. J. Math.,23, No. 3, 536–540 (1971).

    Google Scholar 

  399. Alex Rosenberg, “Subgroups of simple rings with minimal ideals,” Trans. Amer. Math. Soc.,73, 115–138 (1952).

    Google Scholar 

  400. Alex Rosenberg, “The structure of the infinite general linear group,” Ann. Math.,68, No. 2, 278–294 (1958).

    Google Scholar 

  401. W. Rudin, “Idempotents in group algebras,” Bull. Amer. Math. Soc.,69, No. 2, 224–227 (1963).

    Google Scholar 

  402. W. Rudin and H. Schneider, “Idempotents in group rings,” Duke Math. J.,31, 585–602 (1964).

    Google Scholar 

  403. R. Sandling, The Modular Group Rings of p-Groups, Ph.D. Thesis, Univ. Chicago (1969).

  404. R. Sandling, “Note on the integral group ring problem,” Math. Z.,124, No. 3, 255–258 (1972).

    Google Scholar 

  405. R. Sandling, “Dimension subgroups over arbitrary coefficient rings,” J. Algebra,21, No. 2, 250–265 (1972).

    Google Scholar 

  406. R. Sandling, “The dimension subgroup problem,” J. Algebra,21, No. 2, 216–231 (1972).

    Google Scholar 

  407. R. Sandling, “Subgroup duals to dimension subgroups,” Proc. Cambridge Phil. Soc.,71, 33–38 (1972).

    Google Scholar 

  408. H. Schneider and J. Weissglass, “Group rings, semigroup rings and their radical,” J. Algebra,5, No. 1, 1–15 (1967).

    Google Scholar 

  409. H. G. Schumann, “Über Modulen und Gruppenbilder,” Math. Ann.,114, 385–413 (1937).

    Google Scholar 

  410. S. K. Sehgal, “On the isomorphism of group algebras,” Math. J.,95, No. 1, 71–75 (1967).

    Google Scholar 

  411. S. K. Sehgal, “On the isomorphism of integral group rings. I,” Canad. J. Math.,21, No. 2, 410–413 (1969).

    Google Scholar 

  412. S. K. Sehgal, “On the isomorphism of integral group rings. II,” Canad. J. Math.,21, No. 5, 1182–1188 (1969).

    Google Scholar 

  413. S. K. Sehgal, “Units in commutative integral group rings,” J. Okayama Univ.,14, No. 2, 135–138 (1970).

    Google Scholar 

  414. S. K. Sehgal, “On class sums in p-adic group rings,” Canad. J. Math.,23, No. 3, 541–543 (1971).

    Google Scholar 

  415. J.-P. Serre, “Cohomologie des groupes discrets,” C. R. Acad. Sci. Paris,268, No. 5, A268-A271 (1969).

    Google Scholar 

  416. I. Sinha, “Isomorphisms of group rings,” Math. Z.,116, No. 1, 8–14 (1970).

    Google Scholar 

  417. I. Sinha, “On the augmentation-maps of subgroup of a group,” Math. Z.,94, 193–206 (1966).

    Google Scholar 

  418. L. Small, “A change of rings theorem,” Proc. Amer. Math. Soc.,19, 662–666 (1968).

    Google Scholar 

  419. M. Smith, “On group algebras,” Bull. Amer. Math. Soc.,76, No. 4, 780–782 (1970).

    Google Scholar 

  420. M. Smith, “Group algebras,” J. Algebra,18, No. 3, 477–499 (1971).

    Google Scholar 

  421. P. F. Smith, “On the intersection theorem,” Proc. London Math. Soc.,21, No. 3, 385–398 (1970).

    Google Scholar 

  422. P. F. Smith, “Localization in group rings,” Proc. London Math. Soc.,21, No. 1, 69–90 (1971).

    Google Scholar 

  423. P. F. Smith, “Quotient rings of group rings,” J. London Math. Soc.,3, No. 4, 645–660 (1971).

    Google Scholar 

  424. J. Stallings, “On torsion-free groups with infinitely many ends,” Ann. Math.,88, No. 2, 312–334 (1968).

    Google Scholar 

  425. U. Stammbach, “On the weak homological dimension of the group algebra of solvable group,” J. London Math. Soc.,2, No. 3, 567–570 (1970).

    Google Scholar 

  426. R. Steinberg, “Complete sets of representations of algebras,” Proc. Amer. Math. Soc.,13, No. 5, 746–747 (1962).

    Google Scholar 

  427. S. Stonehewer, “Group algebras of some torsion-free groups,” J. Algebra,13, No. 1, 143–147 (1969).

    Google Scholar 

  428. R. Swan, “Representations of polycyclic groups,” Proc. Amer. Math. Soc.,18, No. 3, 573–574 (1967).

    Google Scholar 

  429. R. Swan, “Groups of cohomological dimension one,” J. Algebra,12, No. 4, 585–610 (1969).

    Google Scholar 

  430. R. Swan, Algebraic K-Theory, Springer-Verlag, Berlin (1968), 262 pp.

    Google Scholar 

  431. R. Swan, “Algebraic K-theory,” Actes Congr. Int. Mathématiciens, 1970, T. l, Paris (1971), pp. 191–199.

  432. R. Swan, “Projective modules over group rings and maximal orders,” Ann. Math.,76, No. 1, 55–61 (1962).

    Google Scholar 

  433. R. Swan and E. G. Evans, K-Theory of Finite Groups and Order, Lecture Notes Math., No. 149, Springer-Verlag (1970), 241 pp.

  434. S. Takahashi, “A characterization of group rings as a special class of Hopf algebras,” Canad. Math. Bull.,8, No. 4, 465–475 (1965).

    Google Scholar 

  435. S. Takahashi, “Anneaux tordus de groupes comme des anneaux de Hilbert,” J. Algebra,20, No. 1, 161–166 (1972).

    Google Scholar 

  436. Y. Tsushima, “Radicals of group algebras,” Osaka J. Math.,4, No. 1, 179–182 (1967).

    Google Scholar 

  437. K. Uchida, “A note on the projective modules over group rings,” Proc. Japan Acad.,43, No. 1, 13–16 (1967).

    Google Scholar 

  438. J. Valette, “Anneaux de groupes semi-parfaits,” Proc. Japan Sci. Paris,273, No. 6, A339-A341 (1971).

    Google Scholar 

  439. L. R. Vermani, “On polynomial groups,” Proc. Cambridge Phil. Soc.,68, No. 2, 285–289 (1970).

    Google Scholar 

  440. R. Vidal, “Sur les complétés d'anneaux pour la filtration du radical de Jacobson,” C. R. Acad. Sci. Paris,272, No. 25, A1638-A1641 (1971).

    Google Scholar 

  441. O. E. Villamayor, “On the semisimplicity of group algebras. I,” Proc. Amer. Math. Soc.,9, 621–627 (1958).

    Google Scholar 

  442. O. E. Villamayor, “On the semisimplicity of group algebras. II,” Proc. Amer. Math. Soc.,10, 27–31 (1959).

    Google Scholar 

  443. O. E. Villamayor, “On weak dimension of algebras,” Pacif. J. Math.,9, 941–951 (1959).

    Google Scholar 

  444. D. A. R. Wallace, “Note on the radical of a group algebra,” Proc. Cambridge Phil. Soc.,54, 128–130 (1958).

    Google Scholar 

  445. D. A. R. Wallace, “The Jacobson radicals of the group algebras of a group and of certain normal subgroups,” Math. Z.,100, No. 4, 282–294 (1967).

    Google Scholar 

  446. D. A. R. Wallace, “Some applications of subnormality in groups in the study of group algebras,” Math. Z.,108, No. 1, 53–62 (1968).

    Google Scholar 

  447. D. A. R. Wallace, “On cummutative and central conditions on the Jacobson radical of the group algebra of a group,” Proc. London Math. Soc.,19, 385–402 (1969).

    Google Scholar 

  448. D. A. R. Wallace, “On commutative and central conditions on the Jacobson radical of the group algebra of a group,” J. London Math. Soc.,4, No. 1, 91–99 (1971).

    Google Scholar 

  449. D. A. R. Wallace, “On the commutativity of the radical of a group algebra,” Proc. Glasgow Math. Assoc.,7, No. 1, 1–8 (1965).

    Google Scholar 

  450. D. A. R. Wallace, “Lower bounds for the radical of the group algebra of a finite p-soluble group,” Proc. Edinburgh Math. Soc.,16, No. 2, 127–134 (1968).

    Google Scholar 

  451. D. A. R. Wallace, “The radical of the group algebra of a subgroup of a polycyclic group and of a restricted SN-group,” Proc. Edinburgh Math. Soc.,17, No. 2, 165–171 (1970).

    Google Scholar 

  452. L. Weisner, “Confliction that a finite group be multiply isomorphic to each of its irreducible representations,” Amer. J. Math.,61, 709–712 (1939).

    Google Scholar 

  453. J. Weissglass, “Radicals of semigroup rings,” Glasgow Math. J.,10, No. 2, 85–93 (1969).

    Google Scholar 

  454. J. Weissglass, “Regularity of semigroup rings,” Proc. Amer. Math. Soc.,25, No. 3, 499–503 (1970).

    Google Scholar 

  455. R. Wenger, “Some semigroups having quasi-Frobenius algebras. I,” Proc. London Math. Soc.,18, No. 3, 484–494 (1968).

    Google Scholar 

  456. R. Wenger, “Some semigroups having quasi-Frobenius algebras. II,” Canad. J. Math.,21, No. 3, 615–624 (1969).

    Google Scholar 

  457. R. Wegner, “Self-injective semigroup rings for finite inverse semigroups,” Proc. Amer. Math. Soc.,20, No. 1, 213–216 (1969).

    Google Scholar 

  458. A. R. Whitcomb, The Group Ring Problem, Ph.D. Thesis, Univ. Chicago (1968).

  459. H. Wieland, Unendliche Permutation Gruppen, Tübingen (1960).

  460. E. Witt, “Treue Darstellung Liesher Ringe,” J. Reine und Angew. Math.,177, 152–160 (1937).

    Google Scholar 

  461. S. M. Woods, “On perfect group rings,” Proc. Amer. Math. Soc.,27, No. 1, 49–52 (1971).

    Google Scholar 

  462. H. Zassenhaus, “Ein Verfahren, jeder endlichen p-Gruppe einen Lei-Ring mit der Charakteristik p zuordnen,” Abh. Math. Semin. Univ. Hamburg,13, 200–207 (1940).

    Google Scholar 

  463. A. I. Mal'tsev, “On the imbedding of associative systems into groups,” Matem. Sb.,6, 331–336 (1936).

    Google Scholar 

  464. A. I. Mal'tsev, “On the imbedding of associative systems into groups. II,” Matem. Sb.,8, 251–264 (1940).

    Google Scholar 

  465. S. V. Mikhovskii, “Group rings with a minimality condition for the principal left ideals,” Nauchn. Tr. Plovdiv. Univ.,10, No. 3, 15–22 (1972).

    Google Scholar 

  466. A. A. Bovdi and S. V. Mihovski, “Algebraic element of cross products,” Colloq. Math. Soc. Janos Bolyai, 6, Rings, Modules and Radicals, Keszthely (Hungary) (1971), pp. 103–116.

  467. E. C. Dade, “Deux groupes finis distincts ayant la même algèbre de groupe sur tout corps,” Math. Z.,119, No. 4, 345–348 (1971).

    Google Scholar 

  468. D. R. Farcas, “Self-injective group algebras,” J. Algebra,25, No. 2, 313–315 (1973).

    Google Scholar 

  469. E. Formanek, “A problem of Herstein on group rings,” Canad. Math. Bull. (1974).

  470. E. Fromanek, “The zero divisor question for supersolvable groups,” Bull. Austral. Math. Soc. (1974).

  471. J. Lewin, “A note on zero divisors in group rings,” Proc. Amer. Math. Soc.,31, No. 2, 357–359 (1972).

    Google Scholar 

  472. D. S. Passman, “Advances in group rings,” Preprint, Univ. Wisconsin, Madison (1973).

    Google Scholar 

  473. E. Rips, “On the fourth integer dimension subgroup,” Israel J. Math.,12, No. 4, 342–346 (1972).

    Google Scholar 

  474. J. E. Roseblade, “Group rings of polycyclic groups,” J. Pure and Appl. Algebra (1974).

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  1. A. E. Zalesskii
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Translated from Itogi Nauki i Tekhniki (Sobremennye Problemy Matematiki), Vol. 2, pp. 5–118, 1973.

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Zalesskii, A.E., Mikhalev, A.V. Group rings. J Math Sci 4, 1–78 (1975). https://doi.org/10.1007/BF01084660

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