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Abelian groups

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Literature cited

  1. M. N. Arshinov, “On the projective dimension of torsion-free Abelian groups over its endomorphism ring,” Mat. Zametki,7, No. 1, 117–124 (1970).

    Google Scholar 

  2. I. Kh. Bekker, “On the completeness of holomorphs of Abelian groups with the automorphism 2,” Izv. Vyssh. Uchebn. Zavedenii, Matematika, No. 5, 6–12 (1966).

    Google Scholar 

  3. I. Kh. Bekker, “On the centroids of Abelian groups,” Tr. Tomsk. Univ.,179, 119–122 (1966).

    Google Scholar 

  4. I. Kh. Bekker, “Correction to the article ‘On holomorphs of Abeliangroups,’” Sibirsk. Mat. Zh.,7, No. 1, 231 (1966).

    Google Scholar 

  5. I. Kh. Bekker, “On holomorphs of unreduced Abelian groups,” Izv. Vyssh. Uchebn. Zavedenii, Matematika, No. 3, 3–10 (1968).

    Google Scholar 

  6. M. L. Berlinkov, “On a property of Abelian groups with a finite number of generators,” Mat. Zap. Ural'sk. Univ.,5, No. 3, 31–34 (1966).

    Google Scholar 

  7. A. A. Vinogradov, “Quasivarieties of Abelian groups,” Algebra i Logika,4, No. 6, 15–19 (1965).

    Google Scholar 

  8. F. F. Kamalov, “On subgroups of direct sums of countable Abelian groups,” Vestn. Mosk. Univ., Mat., Mekh., No. 1, 31–35 (1971).

    Google Scholar 

  9. M. A. Kil'p, “Quasi-injective Abelian groups,” Vestn. Mosk. Univ., Mat., Mekh., No. 3, 3–4 (1967).

    Google Scholar 

  10. L. M. Klyats'ka (Klyatskaya), “Abelian groups in which all maximal subgroups of fixed finite rank are complemented,” Dopovidi Akad. Nauk Ukrain. SSR, Ser. A, No. 9, 803–806 (1967).

    Google Scholar 

  11. L. M. Klyats'ka (Klyatskaya), “Abelian groups of infinite rank with a certain system of complemented subgroups of infinite rank,” Dopovidi Akad. Nauk Ukrain. SSR, Ser. A, No. 7, 586–588 (1969).

    Google Scholar 

  12. L. M. Klyats'ka (Klyatskaya), “Abelian groups in which all maximal subgroups of fixed rank are complemented,” in: Groups with Restricted Subgroups [in Russian], Naukova Dumka, Kiev (1971), pp. 159–184.

    Google Scholar 

  13. V. I. Kuz'minov and I. A. Shvedov, “On the completion of Abelian groups in the P-topology,” Algebra i Logika,9, No. 4, 436–457 (1970).

    Google Scholar 

  14. S. V. Lapin, “Semi-isomorphisms of periodic Abelian groups,” Sibirsk. Mat. Zh.,7, No. 2, 298–306 (1966).

    Google Scholar 

  15. S. V. Lapin and N. V. Loiko, “Semi-isomorphisms of torsion-free Abelian groups,” Sibirsk. Mat. Zh.,7, No. 2, 293–297 (1966).

    Google Scholar 

  16. V. M. Lebedenko, “Abelian groups with property (P),” (Editorial Board of “Sibirsk. Mat. Zh.,” Sibirsk. Otdel. Akad. Nauk SSSR), Novosibirsk (1970), 23 pp.

  17. A. P. Mishina, “Abelian groups,” in: Progress in Mathematics, Vol. 5: Algebra, Plenum Press, New York (1969), pp. 1–37.

    Google Scholar 

  18. A. P. Mishina and L. A. Skornyakov, Abelian Groups and Modules [in Russian], Nauka, (1969), 151 pp.

  19. A. I. Moskalenko, “On the central extensions of an Abelian group by an Abelian group,” Sibirsk. Mat. Zh.,9, No. 1, 104–115 (1968).

    Google Scholar 

  20. V. I. Mishkin (Myshkin), “On countable Abelian groups of rank 1,” Dopovidi Akad. Nauk Ukrain. SSR, No. 8, 974–977 (1965).

    Google Scholar 

  21. V. I. Mishkin (Myshkin), “On a class of mixed Abelian groups with a primary periodic part,” Izv. Akad. Nauk SSSR, Ser. Matem.,30, No. 4, 789–824 (1966).

    Google Scholar 

  22. V. I. Mishkin (Myshkin), “On countable mixed Abelian groups of rank 1,” in: Algebra and Mathematical Logic [in Russian], Kiev.Univ., Kiev (1966), pp. 21–36.

    Google Scholar 

  23. V. I. Mishkin (Myshkin), “Countable Abelian groups of rank 1,” Mat. Sb.,76, No. 3, 435–448 (1968).

    Google Scholar 

  24. V. I. Mishkin (Myshkin), “Meromorphic subdirect decomposition of mixed Abelian groups,” Sibirsk. Mat. Zh.,12, No. 4, 812–818 (1971).

    Google Scholar 

  25. L. Prochazka, “Note on the quasi-isomorphism of torsion-free groups of finite rank,” Czechoslovak. Mat. J.,15, No. 1, 1–8 (1965).

    Google Scholar 

  26. L. Prochazka, “Note on m-separable torsion-free Abelian groups,” Czechoslovak. Math., J.,15, No. 4, 526–539 (1965).

    Google Scholar 

  27. L. Prochazka, “Extensions of splittable groups by means of complete primary groups,” Comment. Math. Univ. Carolinae,7, No. 4, 429–445 (1966).

    Google Scholar 

  28. L. Prochazka, “Direct sums of groups of type P+,” Comment Math. Univ. Carolinae,8, No. 1, 85–114 (1967).

    Google Scholar 

  29. V. S. Rokhlina, “On ε-purity in Abelian groups,” Sibirsk. Mat. Zh.,11, No. 1, 161–167 (1970).

    Google Scholar 

  30. V. S. Rokhlina, “Certain classes of Abelian groups,” Uspekhi Mat. Nauk,25, No. 3, 273–274 (1970).

    Google Scholar 

  31. V. S. Rokhlina, “Certain classes of Abelian groups,” Mat. Sb.,83, No. 2, 214–221 (1970).

    Google Scholar 

  32. V. S. Rokhlina, “The ε-centers of Abelian groups,” Vestn. Mosk. Univ., Mat. Mekh., No. 2, 64–68 (1971).

    Google Scholar 

  33. Yu. M. Ryabukhin, “Classification of hereditary radicals of Abelian groups,” in: Materials of the Fourth Conf. Young Moldavian Scientists, Phys.-Math. Sect., 1964 [in Russian], Kishniev (1965), pp. 74–75.

  34. É. A. Sergeev, “Criterion for the decomposability of a torsion-free Abelian group into a direct sum of cyclic groups,” Nauchn. Tr. Krasnodar. Gos. Ped. Inst., Issue 118, 71–75 (1969).

  35. A. Yu. Soifer, “Abelian groups possessing irreducible generator systems,” Sibirsk. Mat. Zh.,12, No. 3, 648–658 (1971).

    Google Scholar 

  36. D. B. Fuks, “Some remarks on the duality of functors in the category of Abelian groups,” Dokl. Akad. Nauk SSSR, 176, No. 2, 273–276 (1967).

    Google Scholar 

  37. A. P. Shapiro, “On a single binary operation in an Abelian group,” Uch. Zap. Dal'nevost. Univ., Ser. Geofiz. i Fiz.-Mat. Nauk, Vladivostok (1970), pp. 147–50.

    Google Scholar 

  38. A. Abian and D. Rinehart, “Honest subgroups of Abelian groups,” Rend. Circ. Mat. Palermo,12, No. 3, 353–356 (1963).

    Google Scholar 

  39. R. C. Agrawal, “A new set of postulates for an Abelian group,” Indian J. Math.,8, No. 2, 89–90 (1966).

    Google Scholar 

  40. J. W. Armstrong, “On the indecomposability of torsion-free Abelian groups,” Proc. Amer. Math. Soc.,16, No. 2, 323–325 (1965).

    Google Scholar 

  41. C. W. Ayoub, “On diagrams for Abelian groups,” J. Number Theory,2, No. 4, 442–458 (1970).

    Google Scholar 

  42. R. A. Beaumont, “Abelian groups G which satisfy G≅G+K for every direct summand K of G. Études groupes Abéliens,” Paris-Berlin-Heidelberg-New York (1968), pp. 69–74.

  43. R. A. Beaumont, “A note on products of homogeneous torsion-free Abelian groups,” Proc. Amer. Math. Soc.,22, No. 2, 434–436 (1969).

    Google Scholar 

  44. R. A. Beaumont and R. S. Pierce, “Quasi-isomorphism of p-groups,” Proc. Colloq. on Abelian groups, 1963, Budapest, Hung. Acad. Sci. (1964), pp. 13–27.

  45. R. A. Beaumont and R. S. Pierce, “Some invariants of p-groups,” Mich. Math. J.,11, No. 2, 137–149 (1964).

    Google Scholar 

  46. K. M. Benabdallah, B. J. Eisenstadt, J. M. Irwin, and E. W. Poluianov, “The structure of large subgroups of primary Abelian groups,” Acta Math. Acad. Sci. Hung.,21, Nos. 3–4, 421–435 (1970).

    Google Scholar 

  47. K. M. Benabdallah and J. M. Irwin, “On quasi-essential subgroups of primary Abelian groups,” Can. J. Math.,22, No. 6, 1176–1184 (1970).

    Google Scholar 

  48. D. Bertholf, “Isomorphism invariant for quotient categories of Abelian groups,” Math. Z.,114, No. 1, 33–48 (1970).

    Google Scholar 

  49. L. Bican, “Some properties of completely decomposable torsion-free Abelian groups,” Czechosl. Mat. J.,19, No. 3, 518–533 (1969).

    Google Scholar 

  50. L. Bican, “On splitting mixed Abelian groups,” Czechosl. Mat. J.,20, No. 1, 74–80 (1970).

    Google Scholar 

  51. L. Bican, “Mixed Abelian groups of torsion-free rank one,” Czechosl. Mat. J.,20, No. 2, 232–242 (1970).

    Google Scholar 

  52. L. Bican, “Factor-splitting Abelian groups of rank two,” Comment. Math. Univ. Carol.,11, No. 1, 1–8 (1970).

    Google Scholar 

  53. D. L. Boyer and A. Mader, “A representation theorem for Abelian groups with no elements of infinite p-height,” Pacif. J. Math.,20, No. 1, 31–33 (1967).

    Google Scholar 

  54. M.-P. Brameret, “Groupes p-réduits,” Sémin. Dubreil et Pisot. Fac. Sci., Paris, 1962–1963,16, No. 2, 13/01–13/26 (1967).

    Google Scholar 

  55. M. C. R. Butler, “On locally free torsion-free rings of finite rank” J. London Math. Soc.,43, No. 2, 297–300 (1968).

    Google Scholar 

  56. M. C. R. Butler, “A class of torsion-free Abelian groups of finite rank,” Proc. London Math. Soc.,15, No. 4, 680–698 (1965).

    Google Scholar 

  57. F. Castagna, “Sums of automorphisms of a primary Abelian group,” Pacif. J. Math.,27, No. 3, 463–473 (1968).

    Google Scholar 

  58. B. Charles, “Méthodes topologiques en théorie des groupes Abéliens,” Proc. Colloq. on Abelian groups, 1963, Budapest, Hung. Acad. Sci., (1964), pp. 29–42.

  59. B. Charles, “Sous-groupes fonctoriels et topologies,” Études groupes Abéliens, Paris-Berlin-Heidelberg-New York (1968), pp. 75–92.

    Google Scholar 

  60. C. G. Chehata, “On commutative continuation of partial endomorphisms of groups,” Can. J. Math.,17, No. 3, 429–433 (1965).

    Google Scholar 

  61. C. G. Chehata and A. Shawky, “A note on extending partial automorphisms of Abelian groups,” J. Austral. Math. Soc.,11, No. 1, 37–41 (1970).

    Google Scholar 

  62. J. R. Clay, “The group of left distributive multiplications on an Abelian group,” Acta Math. Acad. Sci. Hung.,19, Nos. 3–4, 221–227 (1968).

    Google Scholar 

  63. J. R. Clay, “The punctured plane is isomorphic to the unit circle,” J. Number Theory,1, No. 4, 500–501 (1969).

    Google Scholar 

  64. J. M. Cohen, “Clarification to a result in ‘A spectral sequence automorphism theorem,’” Topology,9, No. 3, 299–300 (1970).

    Google Scholar 

  65. D. Cook, “Injectives of strongly hereditary relative homological algebras,” Manuscr. Math.,1, No. 4, 377–383 (1969).

    Google Scholar 

  66. E. F. Cornelius, Jr., “Note on quasi-decompositions of irreducible groups,” Proc. Amer. Math. Soc.,26, No. 1, 33–36 (1970).

    Google Scholar 

  67. A. L. S. Corner, “Three examples on hopficity in torsion-free Abelian groups,” Acta Math. Acad. Sci. Hung.,16, Nos. 3–4, 303–310 (1965).

    Google Scholar 

  68. A. L. S. Corner, “A note on rank and direct decompositions of torsion-free Abelian groups. II.,” Proc. Cambridge Phil. Soc.,66, No. 2, 239–240 (1969).

    Google Scholar 

  69. A. L. S. Corner, “On endomorphism rings of primary Abelian groups,” Quart. J. Math.,20, No. 79, 277–296 (1969).

    Google Scholar 

  70. A. L. S. Corner and P. Crawley, “An Abelian group without the isomorphic refinement property,” Bull. Amer. Math. Soc.,74, No. 4, 743–745 (1968).

    Google Scholar 

  71. P. Crawley, “Solution of Kaplansky's test problems for primary Abelian groups,” J. Algebra,2, No. 4, 413–431 (1965).

    Google Scholar 

  72. P. Crawley, “The cancellation of torsion Abelian groups in direct sums,” J. Algebra,2, No. 4, 432–442 (1965).

    Google Scholar 

  73. P. Crawley, “An isomorphic refinement theorem for certain Abelian p-groups,” J. Algebra,6, No. 3, 376–387 (1967).

    Google Scholar 

  74. P. Crawley, “Abelian p-groups determined by their Ulm sequences,” Pacif. J. Math.,22, No. 2, 235–239 (1967).

    Google Scholar 

  75. P. Crawley and A. W. Hales, “The structure of torsion Abelian groups given by presentations,” Bull. Amer. Math. Soc.,74, No. 5, 954–956 (1968).

    Google Scholar 

  76. P. Crawley and A. W. Hales, “The structure of Abelian p-groups given by certain presentations,” J. Algebra,12, No. 1, 10–23 (1969).

    Google Scholar 

  77. D. O. Cutler, “Quasi-isomorphism for infinite Abelian p-groups,” Pacif. J. Math.,16, No. 1, 25–45 (1966).

    Google Scholar 

  78. D. O. Cutler, “On the structure of primary Abelian groups of countable Ulm type,” Trans. Amer. Math. Soc.,152, No. 2, 503–518 (1970).

    Google Scholar 

  79. D. O. Cutler, “Another summable CΩ-group,” Proc. Amer. Math. Soc.,26, No. 1, 43–44 (1970).

    Google Scholar 

  80. D. O. Cutler and P. F. Dubois, “A generalisation of final rank of primary Abelian groups,” Can. J. Math.,22, No. 6, 1118–1122 (1970).

    Google Scholar 

  81. D. O. Cutler and R. W. Stringall, “A topology for primary Abelian groups,” Études Groupes Abéliens, Paris-Berlin-Heidelberg-New York, (1968), pp. 93–100.

    Google Scholar 

  82. D. O. Cutler and J. Winthrop, “A note on a paper of Paul Hill and Charles Megibben,” Proc. Amer. Math. Soc.,22, No. 2, 428–429 (1969).

    Google Scholar 

  83. S. E. Dickson, “On torsion classes of Abelian groups,” J. Math. Soc., Japan,17, No. 1, 30–35 (1965).

    Google Scholar 

  84. D. W. Dubois, “Cohesive groups and p-adic integers,” Publs. Math.,12, Nos. 1–4, 51–58 (1965).

    Google Scholar 

  85. D. W. Dubois, “Applications of analytic number theory to the study of type sets of torsion-free Abelian groups. I.,” Publs. Math.,12, Nos. 1–4, 59–63 (1965).

    Google Scholar 

  86. D. W. Dubois, “Applications of analytic number theory to the study of type sets of torsion-free Abelian group. II,” Publs. Math.,13, Nos. 1–4, 1–8 (1966).

    Google Scholar 

  87. H. L. Egan, “Galois theory for groups,” Port. Math.,28, Nos. 3–4, 205–214 (1969).

    Google Scholar 

  88. E. Enochs, “Extending isomorphisms between basic subgroups,” Arch. Math.,15, Nos. 3, 175–178 (1964).

    Google Scholar 

  89. E. Enochs, “On lifting automorphisms in primary Abelian groups,” Arch. Math.,16, Nos. 4–5, 342–343 (1965).

    Google Scholar 

  90. D. J. Ensey, “Isomorphism invariants for Abelian groups modulo bounded groups,” Pacif. J. Math.,24, No. 1, 71–91 (1968).

    Google Scholar 

  91. D. J. Ensey, “Primary Abelian groups modulo finite groups,” Pacif. J. Math.,29, No. 1, 77–81 (1969).

    Google Scholar 

  92. R. C. Entringer, “The 2Ω property of torsion-free Abelian groups,” Amer. Math. Mon.,74, No. 3, 301–302 (1967).

    Google Scholar 

  93. H. Freedman, “On endomorphisms of primary Abelian groups,” J. London Math. Soc.,43, No. 2, 305–307 (1968).

    Google Scholar 

  94. E. Fried, “On the subgroups of an Abelian group that are ideals in every ring,” Proc. Colloq. on Abelian groups, 1963, Budapest, Hung. Acad. Sci. (1964), pp. 51–55.

  95. L. Fuchs, Abelian Groups, Publ. House Hungar. Acad. Sci., Budapest (1958), 367 pp.

    Google Scholar 

  96. L. Fuchs, “Some generalizations of the exact sequences concerning Hom and Ext. Proc.,” Colloq. on Abelian Groups, 1963, Budapest, Hung. Acad. Sci. (1964), pp. 57–76.

  97. L. Fuchs, “Note on linearly compact Abelian groups,” J. Austral. Math. Soc.,9, Nos. 3–4, 433–440 (1969).

    Google Scholar 

  98. L. Fuchs, “Summands of separable Abelian groups,” Bull. London Math. Soc.,2, No. 2, 205–208 (1970).

    Google Scholar 

  99. L. Fuchs and K. M. Rangaswamy, “Quasi-projective Abelian groups,” Bull. Soc. Math., France,98, No. 1, 5–8 (1970).

    Google Scholar 

  100. B. J. Gardner, “Torsion classes and pure subgroups,” Pacif. J. Math.,33, No. 1, 109–116 (1970).

    Google Scholar 

  101. B. J. Gardner, “A note on types,” Bull. Austral. Math. Soc.,2, No. 2, 275–276 (1970).

    Google Scholar 

  102. P. J. Gräbe, “Der iterierte Ext-Funktor, seine Periodizität und die dadurch definierten Klassen abelscher Gruppen,” Études Groupes Abéliens, Paris-Berlin-Heidelberg-New York (1968), pp. 131–141.

    Google Scholar 

  103. P. J. Gräbe and G. Viljoen, “Maximal classes of Ext-reproduced Abelian groups,” Bull. Soc. Math., France,98, No. 2, 165–192 (1970).

    Google Scholar 

  104. P. J. Gräbe and G. Viljoen, “Characterization of classes of left Ext-reproduced groups,” Bull. Soc. Math., France,98, No. 4, 337–358 (1970).

    Google Scholar 

  105. P. Griffith, “Purely indecomposable torsion-free groups,” Proc. Amer. Math. Soc.,18, No. 4, 738–742 (1967).

    Google Scholar 

  106. P. Griffith, “Transitive and fully transitive primary Abelian groups,” Pacif. J. Math.,25, No. 2, 249–254 (1968).

    Google Scholar 

  107. P. Griffith, “On direct sums of p-mixed groups,” Arch. Math.,19, No. 4, 359–360 (1968).

    Google Scholar 

  108. P. Griffith, “Separability of torsion-free groups and a problem of J. H. C. Whitehead,” Ill. J. Math.,12, No. 4, 654–659 (1968).

    Google Scholar 

  109. P. Griffith, “Decomposition of pure subgroups of torsion-free groups,” Ill. J. Math.,12, No. 3, 433–438 (1968).

    Google Scholar 

  110. P. Griffith, “A counterexample to a theorem of Chase,” Proc. Amer. Math. Soc.,19, No. 4, 923–924 (1968).

    Google Scholar 

  111. P. Griffith, “A solution to the splitting mixed group problem of Baer,” Trans. Amer. Math. Soc.,139, 261–269, May (1969).

    Google Scholar 

  112. P. Griffith, “On a subfunctor of Ext,” Arch. Math.,21, No. 1, 17–22 (1970).

    Google Scholar 

  113. P. Griffith, “Extensions of free groups by torsion groups,” Proc. Amer. Math. Soc.,24, No. 4, 677–679 (1970).

    Google Scholar 

  114. P. Grosse, “Periodizität der iterierten Homomorphismengruppen,” Arch. Math. (Basel),16, 393–406 (1965).

    Google Scholar 

  115. P. Grosse, “Maximale, periodische Klassen abelscher Gruppen,” Math. Z.,94, No. 4, 235–255 (1966).

    Google Scholar 

  116. P. Grosse, “Homomorphismen endlicher Ordnung,” Ann. Univ. Sci., Budapest Sec. Math.,10, 31–35 (1967).

    Google Scholar 

  117. F. Haimo, “Endomorphism radicals which characterize some divisible groups,” Ann. Univ. Sci., Budapest. Sec. Math.,10, 25–29 (1967).

    Google Scholar 

  118. J. T. Hallet and K. A. Hirsch, “Torsion-free groups having finite automorphism groups. I.,” J. Algebra,2, No. 3, 287–298 (1965).

    Google Scholar 

  119. J. T. Hallet and K. A. Hirsch, “Die Konstruktion von Gruppen mit vorgeschriebenen Automorphismengruppen,” J. reine und angew. Math.,239–240, 32–46 (1969).

    Google Scholar 

  120. L. F. Harris, “On subgroups of prime power index,” Pacif. J. Math.,35, No. 1, 117–126 (1970).

    Google Scholar 

  121. N. Hart, “Ulm's theorem for Abelian groups modulo bounded groups,” Pacif. J. Math.,33, No. 3, 635–640 (1970).

    Google Scholar 

  122. G. J. Hauptfleisch, “On the structure of the group of extensions,” Nieuw arch. wisk.,13, No. 2, 105–109 (1965).

    Google Scholar 

  123. G. J. Hauptfleisch, “A note on cyclic extensions,” Nieuw arch. wisk.,15, No. 2, 119–123 (1967)

    Google Scholar 

  124. J. Hausen, “Automorphismengesättigte Klassen abzählbarer abelscher Gruppen,” Études Groupes Abeliens, Paris-Berlin-Heidelberg-New York (1968), pp. 147–181.

    Google Scholar 

  125. J. Hausen, “The hypo residuum of the automorphism group of an Abelian p-group,” Pacif. J. Math.,35, No. 1, 127–139 (1970).

    Google Scholar 

  126. T. J. Head, “A direct limit representation for Abelian groups with an application to tensor sequences,” Acta Math. Acad. Sci. Hung.,18, Nos. 1–2, 231–234 (1967).

    Google Scholar 

  127. H. E. Heatherly, “Primary Abelian groups with a height restricting condition,” Amer. Math. Mon.,74, No. 7, 827–829 (1967).

    Google Scholar 

  128. H. Heilbronn and P. Scherk, “Sums of complexes in torsion-free Abelian groups,” Can. Math. Bull.,12, No. 4, 479–480 (1969).

    Google Scholar 

  129. P. Hill, “Pure subgroups having prescribed socles,” Bull Amer. Math. Soc.,71, No. 4, 608–609 (1965).

    Google Scholar 

  130. P. Hill, “Sums of countable primary groups,” Proc. Amer. Math. Soc.,17, No. 6, 1469–1470 (1966).

    Google Scholar 

  131. P. Hill, “A classification of direct sums of closed groups,” Acta Math. Acad. Sci. Hung.,17, Nos. 3–4, 263–266 (1966).

    Google Scholar 

  132. P. Hill, “Concerning the number of basic subgroups,” Acta Math. Acad. Sci. Hung.,17, Nos. 3–4, 267–269 (1966).

    Google Scholar 

  133. P. Hill, “On the automorphism group of an infinite primary Abelian group,” J. London Math. Soc.,41, No. 4, 731–732 (1966).

    Google Scholar 

  134. P. Hill, “Quasi-isomorphism of primary groups,” Mich. Math. J.,13, No. 4, 481–484 (1966).

    Google Scholar 

  135. P. Hill, “On quasi-isomorphic invariants of primary groups,” Pacif. J. Math.,22, No. 2, 257–265 (1967).

    Google Scholar 

  136. P. Hill, “The isomorphic refinement theorem for direct sums of closed groups,” Proc. Amer. Math. Soc.,18, No. 5, 913–919 (1967).

    Google Scholar 

  137. P. Hill, “On primary groups with incountably many elements of infinite height,” Arch. Math.,19, No. 3, 279–283 (1968).

    Google Scholar 

  138. P. Hill, “Extending automorphisms on primary groups,” Bull. Amer. Math. Soc.,74, No. 6, 1123–1124 (1968).

    Google Scholar 

  139. P. Hill, “Isotype subgroups of direct sums of countable groups,” Ill. J. Math.,13, No. 2, 281–290 (1969).

    Google Scholar 

  140. P. Hill, “On transitive and fully transitive primary groups,” Proc. Amer. Math. Soc.,22, No. 2, 414–417 (1969).

    Google Scholar 

  141. P. Hill, “A countability condition for primary groups presented by relations of length two,” Bull. Amer. Math. Soc.,75, No. 4, 780–782 (1969).

    Google Scholar 

  142. P. Hill, “Endomorphism rings generated by units,” Trans. Amer. Math. Soc.,141, 99–105, July (1969).

    Google Scholar 

  143. P. Hill, “A summable CΩ-group,” Proc. Amer. Math. Soc.,23, No. 2, 429–430 (1969).

    Google Scholar 

  144. P. Hill, “On me decomposition of groups,” Can. J. Math.,21, No. 3, 762–768 (1969).

    Google Scholar 

  145. P. Hill, “On the freeness of Abelian groups: a generalization of Pontryagin's theorem,” Bull. Amer. Math. Soc.,76, No. 5, 1118–1120 (1970).

    Google Scholar 

  146. P. Hill, “The purification of subgroups of Abelian groups,” Duke Math. J.,37, No. 3, 523–527 (1970).

    Google Scholar 

  147. P. Hill, “Automorphisms of countable primary Abelian groups,” Proc. Amer. Math. Soc.,25, No. 1, 135–140 (1970).

    Google Scholar 

  148. P. Hill, “The automorphisms of primary Abelian groups,” Proc. London Math. Soc.,22, No. 1, 24–38 (1971).

    Google Scholar 

  149. P. Hill and C. K. Megibben, “Quasi-closed primary groups,” Acta Math. Acad. Sci. Hung.,16, Nos. 3–4, 271–174 (1965).

    Google Scholar 

  150. P. Hill and C. K. Megibben, “On primary groups with countable basic subgroups,” Trans. Amer. Math. Soc.,124, No. 1, 49–59 (1966).

    Google Scholar 

  151. P. Hill and C. K. Megibben, “Extending automorphisms and lifting decompositions in Abelian groups,” Math. Ann.,175, No. 2, 159–168 (1968).

    Google Scholar 

  152. P. Hill and C. K. Megibben, “On direct sums of countable groups and generalizations,” Études Groupes Abéliens, Paris-Berlin-Heidelberg-New York (1968), pp. 183–206.

    Google Scholar 

  153. K. A. Hirsch and H. Zassenhaus, “Finite automorphism groups of torsion-free groups,” J. London Math. Soc.,41, No. 3, 545–549 (1966).

    Google Scholar 

  154. K. Honda, “On direct sums of countable, reduced, Abelian p-groups,” Comment. Math. Univ. St. Pauli,16, No. 2, 157–161 (1967).

    Google Scholar 

  155. N. S. Hsu, “The holomorphs of free Abelian groups of finite rank,” Amer. Math. Mon.,72, No. 7, 754–756 (1965).

    Google Scholar 

  156. T. W. Hungerford, “Multiple Künneth formulas for Abelian groups,” Trans. Amer. Math. Soc.,118, No. 6, 257–275 (1965).

    Google Scholar 

  157. W. Imrich, “Abelian groups with identical relations,” Czech. Math. J.,17, No. 4, 535–539 (1967).

    Google Scholar 

  158. J. M. Irwin and K. M. Benabdallah, “On N-high subgroups of Abelian groups,” Bull. Soc. Math., France,96, No. 4, 337–346 (1968).

    Google Scholar 

  159. J. M. Irwin and T. Ito, “A quasi-indecomposable Abelian group without proper isomorphic quotient groups and proper isomorphic subgroups,” Pacif. J. Math.,29, No. 1, 151–160 (1969).

    Google Scholar 

  160. J. M. Irwin and S. A. Khabbaz, “On generating subgroups of Abelian groups,” Proc. Colloq. on Abelian Groups, 1963, Budapest, Hung. Acad. Sci. (1964), pp. 87–97.

  161. J. M. Irwin, S. A. Khabbaz, and G. Rayna, “The role of tensor product in the splitting of Abelian groups,” J. Algebra,14, No. 4, 423–442 (1970).

    Google Scholar 

  162. J. M. Irwin and J. D. O'Neill, “On direct products of Abelian groups,” Can. J. Math.,22, No. 3, 525–544 (1970).

    Google Scholar 

  163. J. M. Irwin and F. Richman, “Direct sums of countable groups and related concepts,” J. Algebra,2, No. 4, 443–450 (1965).

    Google Scholar 

  164. J. M. Irwin, F. Richman, and E. A. Walker, “Countable direct sums of torsion complete groups,” Proc. Amer. Math. Soc.,17, No. 3, 763–766 (1966).

    Google Scholar 

  165. J. M. Irwin and J. Swanek, “On purifiable subsocles of a primary Abelian group,” Can. J. Math.,23, No. 1, 48–57 (1971).

    Google Scholar 

  166. J. R. Isbell, “A note on exact colimits,” Can. Math. Bull.,11, No. 4, 569–572 (1968).

    Google Scholar 

  167. T. Ito and J. M. Irwin, “A quasi-decomposable Abelian group without proper isomorphic quotient groups and proper isomorphic subgroups. II.,” J. Fac. Sci. Hokkaido Univ., Ser. I,20, No. 4, 194–203 (1969).

    Google Scholar 

  168. R. A. Jacobson, “Absolutely independent axioms for Abelian groups,” Amer. Math. Mon.,72, No. 9, 991–993 (1965).

    Google Scholar 

  169. R. A. Jacobson, “Correction to a note on Abelian group axioms,” Amer. Math. Mon.,75, No. 4, 389 (1968).

    Google Scholar 

  170. K. Katô, “On Abelian groups every subgroup of which is a neat subgroup,” Comment. Math. Univ. St. Pauli,15, No. 2, 117–118 (1967).

    Google Scholar 

  171. J. E. Koehler, “Some torsion free rank two groups,” Acta Sci. Math.,25, Nos. 3–4, 186–190 (1964).

    Google Scholar 

  172. J. E. Koehler, “The type set of a torsion-free group of finite rank,” Ill. J. Math.,9, No. 1, 66–86 (1965).

    Google Scholar 

  173. C. W. Kohls, “Representation of Abelian groups and rings by families of real-valued functions,” Proc. Amer. Math. Soc.,25, No. 1, 86–92 (1970).

    Google Scholar 

  174. T. Koyama, “On quasi-closed groups and torsion complete groups,” Bull. Soc. Math. France,95, No. 1, 89–94 (1967).

    Google Scholar 

  175. T. Koyama, “On co-torsion groups and algebraically compact groups,” Natur. Sci. Rept. Ochanomizu Univ.,18, No. 2, 57–61 (1967).

    Google Scholar 

  176. T. Koyama, “On the invariants of algebraically compact groups and compact Abelian groups,” Natur. Sci. Rept Ochanomizu Univ.,20, No. 2, 7–11 (1969).

    Google Scholar 

  177. T. Koyama and J. M. Irwin, “On topological methods in Abelian groups,” Études Groupes Abéliens, Paris-Berlin-Heidelberg-New York (1968), pp. 207–222.

    Google Scholar 

  178. M. Król, “The automorphism groups and the endomorphism rings of torsion-free Abelian groups of rank two,” Rozpr. Mat., No. 55, 76 pp. (1967).

  179. G. M. L. Laplaza, “Estractura de grupo abeliano sobre un conjunto dado,” Rev. Mat. Hisp.-Amer.,25, Nos. 1–2, 70–74 (1965).

    Google Scholar 

  180. K. Lee, “A note on functors Ext over the ring Z,” Bull. Amer. Math. Soc.,75, No. 4, 852–856 (1969).

    Google Scholar 

  181. L. C. A. van Leeuwen, “On the endomorphism ring of direct sums of groups,” Acta Sci. Math.,28, Nos. 1–2, 21–29 (1967).

    Google Scholar 

  182. L. C. A. van Leeuwen, “A note on a maximal periodic class of Abelian groups,” Arch. Math.,18, No. 6, 571–576 (1967).

    Google Scholar 

  183. L. C. A. van Leeuwen, “On torsion-free cotorsion groups,” Proc. Kon. Ned. Akad. Wetensch.,A72, No. 4, 388–393, 1969; Indag. Math.,31, No. 4, 388–393 (1969).

    Google Scholar 

  184. H. Leptin, “Einige Bemerkungen über die Automorphismen Abelscher p-Gruppen,” Proc. Colloq. on Abelian Groups, 1963, Budapest, Hung. Acad. Sci. (1964), pp. 99–104.

  185. W. Liebert, “Die minimalen Ideale der Endomorphismenringe Abelscher p-Gruppen,” Math. Z.,97, No. 2, 85–104 (1967).

    Google Scholar 

  186. W. Liebert, “Charakterisierung der Endomorphismenringe beschränkter abelscher Gruppen,” Math. Ann.,174, No. 3, 217–232 (1967).

    Google Scholar 

  187. W. Liebert, “Endomorphism rings of Abelian p-proups,” Études Groupes Abéliens, Paris-Berlin-Heidelberg-New York (1968), pp. 239–258.

    Google Scholar 

  188. S. Ligh, “A note on the splitting problem of mixed Abelian groups,” Nieuw Arch. Wisk.,16, No. 1, 15–18 (1968).

    Google Scholar 

  189. F. Loonstra, “On extensions of groups,” Rend. Semin. Mat. Univ. e Politecn., Torino,27, 105–106 (1967–1968).

    Google Scholar 

  190. A. Mader, “On the automorphism group and the endomorphism ring of Abelian groups,” Ann. Univ. Sci., Budapest. Sec. Math., No. 8, 3–12 (1965).

    Google Scholar 

  191. A. Mader, “On the normal structure of the automorphism group and the ideal structure of the endomorphism ring of Abelian p-groups,” Publs. Math.,13, Nos. 1–4, 123–127 (1966).

    Google Scholar 

  192. A. Mader, “A characterization of completions of direct sums of cyclic groups,” Bull. Acad. Pol. Sci. Sér. Sci. Math., Astron, et Phys.,15, No. 4, 231–233 (1967).

    Google Scholar 

  193. A. Mader, “Extensions of Abelian groups,” Études Groupes Abéliens, Paris-Berlin-Heilderberg-New York (1968), pp. 259–266.

    Google Scholar 

  194. A. Mader, “The group of extensions of a torsion group by a torsion free group,” Arch. Math.,20, No. 2, 126–131 (1969).

    Google Scholar 

  195. H. B. Mann, “Recent advances in difference sets,” Amer. Math. Mon.,74, No. 3, 229–235 (1967).

    Google Scholar 

  196. R. Marty, “Radical, socle et relativisatton,” Études Groupes Abéliens, Paris-Berlin-Heidelberg-New York (1968), pp. 287–300.

    Google Scholar 

  197. R. Matsuda, “On problem 36 of Fuchs, L., Abelian groups,” Comment. Math. Univ. St. Pauli,17, No. 2, 83 (1969).

    Google Scholar 

  198. I. G. Maurer and M. Szilágyi, “Despre convergentaproduselor infinite definite in inelele de endomorfisme ale unui grup Abelian,” Stud. Univ. Babes-Bolyae. Ser. Math.-Phys.,10, No. 2, 17–23 (1965).

    Google Scholar 

  199. C. K. Megibben, “Kernels of purity in Abelian groups,” Publ. Math.,11, Nos. 1–4, 160–164 (1964).

    Google Scholar 

  200. C. K. Megibben, “On subgroups of primary Abelian groups,” Publ. Math.,12, Nos. 1–4, 293–294 (1965).

    Google Scholar 

  201. C. K. Megibben, “Large subgroups and small homomorphisms,” Mich. Math. J.,13, No. 2, 153–160 (1966).

    Google Scholar 

  202. C. K. Megibben, “On mixed groups of torsion-free rank one,” Ill. J. Math.,11, No. 1, 134–144 (1967).

    Google Scholar 

  203. C. K. Megibben, “Stiff groups and wild socles,” Tôhoku Math. J.,20, No. 4, 577–581 (1968).

    Google Scholar 

  204. C. K. Megibben, “On a theorem of Cutler,” Can. Math. Bull.,12, No. 2, 225–227 (1969).

    Google Scholar 

  205. C. K. Megibben, “A nontransitive, fully transitive primary group,” J. Algebra,13, No. 4, 571–574 (1969).

    Google Scholar 

  206. C. K. Megibben, “On certain subsocles of a primary Abelian group,” Bull. Soc. Math., France,97, No. 3, 285–287, 1969 (1970).

    Google Scholar 

  207. C. K. Megibben, “The generalized Kulikov criterion,” Can. J. Math.,21, No. 5, 1192–1205 (1969).

    Google Scholar 

  208. C. K. Megibben, “A generalization of the classical theory of primary groups,” Tôhoku Math. J.,22, No. 3, 347–356 (1970).

    Google Scholar 

  209. F. Menegazzo, “Ordini ciclic nei gruppi Abeliani,” Rend. Semin. Mat. Univ., Padova,38, 217–237 (1967).

    Google Scholar 

  210. R. Mines, “A family of functors defined on generalized primary groups,” Pacif. J. Math.,26, No. 2, 349–360 (1968).

    Google Scholar 

  211. R. Mines, “Torsion and cotorsion completions,” Études Groupes Abéliens, Paris-Berlin-Heidelberg-New York (1968), pp. 301–303.

    Google Scholar 

  212. A. R. Mitchell, “Some properties of upper basic subgroups,” Ann. Univ. Sci., Budapest, Sec. Math.,10, 3–11 (1967).

    Google Scholar 

  213. A. R. Mitchell and R. W. Mitchell, “Some structure theorems for infinite Abelian p-groups,” J. Algebra,5, No. 3, 367–372 (1967).

    Google Scholar 

  214. A. R. Mitchell and R. W. Mitchell, “Disjoint basic subgroups,” Pacif. J. Math.,23, No. 1, 119–127 (1967).

    Google Scholar 

  215. G. S. Monk, “One-sided ideals in the endomorphism ring of an Abelian p-group,” Acta Math. Acad. Sci. Hung.,19, Nos. 1–2, 171–185 (1968).

    Google Scholar 

  216. G. S. Monk, “Abelian p-groups without proper isomorphic pure dense subgroups,” Ill. J. Math.,14, No. 1, 164–177 (1970).

    Google Scholar 

  217. R. J. Nunke, “On the structure of Tor,” Proc. Colloq. on Abelian Groups, 1963, Budapest, Hung. Acad. Sci. (1964), pp. 115–124.

  218. R. J. Nunke, “Purity and subfunctors of the identity,” in: Topics in Abelian Groups (Proc. Sympos., New Mexico State Univ., 1962), Scott, Foresman and Co., Chicago (1963), pp. 121–171.

    Google Scholar 

  219. R. J. Nunke, “Homology and direct sums of countable Abelian groups,” Math. Z.,101, No. 3, 182–212 (1967).

    Google Scholar 

  220. R. J. Nunke, “On the structure of Tor, II.,” Pacif. J. Math.,22, No. 3, 453–464 (1967).

    Google Scholar 

  221. R. J. Nunke, “A note on endomorphism rings of Abelian p-groups,” Études Groupes Abéliens, Paris-Berlin-Heidelberg-New York (1968), pp. 305–308.

    Google Scholar 

  222. J. A. Oppelt, “On p-mixed Abelian groups,” Proc. Amer. Math. Soc.,18, No. 2, 344–346 (1967).

    Google Scholar 

  223. J. A. Oppelt, “A decomposition of mixed Abelian groups,” Trans. Amer. Math. Soc.,127, No. 2, 341–348 (1967).

    Google Scholar 

  224. J. A. Oppelt, “Mixed Abelian groups,” Can. J. Math.,19, No. 6, 1259–1262 (1967).

    Google Scholar 

  225. A. Orsatti, “Su di un problema di T. Szele e J. Szendrei,” Rend. Semin. Mat. Univ. Padova,35, Parte I, 171–175 (1965).

    Google Scholar 

  226. A. Orsatti, “Alcuni gruppi Abeliani il cui annelo degli endomorfims e locale,” Rend. Semin. Mat. Univ. Padova,35, Parte I, 107–115 (1965).

    Google Scholar 

  227. A. Orsatti, “Un lemma di immersione per i gruppi abeliani senza elementi di altezza infinite,” Rend. Semin. Mat. Univ. Padova,38, 1–13 (1967).

    Google Scholar 

  228. A. Orsatti, “A class of rings which are the endomorphism rings of some torsion-free Abelian groups,” Ann. Scuola Norm. Super. Pisa, Sci. Fis. e Mat.,23, No. 1, 143–153 (1969).

    Google Scholar 

  229. A. Orsatti, “Una proprietà caratteristica dei gruppi abeliani torsionalmente completi,” Rend. Semin. Mat., Univ. Padova,42, 325–328 (1969).

    Google Scholar 

  230. R. Padmanabhan, “On single equational-axiom systems for Abelian groups,” J. Austral. Math. Soc.,9, Nos. 1–2, 143–152 (1969).

    Google Scholar 

  231. R. Padmanabhan, “A note on inverse binary operation in Abelian groups,” Fund. Math.,65, No. 1, 61–63 (1969).

    Google Scholar 

  232. L. D. Parker and E. A. Walker, “An extension of the Ulm-Kolettis theorems,” Études Groupes Abéliens, Paris-Berlin-Heidelberg-New York (1968), pp. 309–325.

    Google Scholar 

  233. R. S. Pierce, “Endomorphism rings of primary Abelian Groups,” Proc. Colloq. on Abelian Groups, 1963, Budapest, Hung. Acad. Sci., (1964), pp. 125–137.

  234. L. Procházka, “Über eine Klasse torsionsfreier Abelscher Gruppen,” Čas. pěstov. Mat.,90, No. 2, 153–159 (1965).

    Google Scholar 

  235. L. Procházka, “A note on quasi-splitting of Abelian Groups,” Comment. Math. Univ. Carol.,7, No. 2, 227–235 (1966).

    Google Scholar 

  236. L. Procházka, “Extensions of Abelian groups by periodic groups,” Czech. Math. J.,17, No. 1, 12–27 (1967).

    Google Scholar 

  237. L. Procházka, “Note on direct sums of groups of type P+,” Czech. Math. J.,17, No. 1, 28–35 (1967).

    Google Scholar 

  238. L. Prochazka, “A note on completely decomposable torsion-free Abelian groups,” Comment. Math. Univ. Carol.,10, No. 1, 141–161 (1969).

    Google Scholar 

  239. L. Procházka, “A note on free Abelian groups,” Comment. Math. Univ. Carol.,10, No. 4, 567–569 (1969).

    Google Scholar 

  240. L. Procházka, “Concerning almost divisible torsion free Abelian groups,” Comment. Math. Univ. Carol.,12, No. 1, 23–31 (1971).

    Google Scholar 

  241. M. Rajagopalan and J. Rotman, “Monogenic groups,” Compos. Math.,18, Nos. 1–2, 155–161 (1966).

    Google Scholar 

  242. K. M. Rangaswamy, “Neat subgroups of Abelian groups,” J. Madras Univ.,B33, No. 2, 129–135 (1963).

    Google Scholar 

  243. K. M. Rangaswamy, “On ∑-groups,” Bull. Soc. Math. France,92, No. 3, 259–262 (1964).

    Google Scholar 

  244. K. M. Rangaswamy, “Full subgroups of Abelian groups,” Indian J. Math.,6, No. 1, 21–27 (1964).

    Google Scholar 

  245. K. M. Rangaswamy, “Extension theory of Abelian groups,” Math. Stud.,32, Nos. 1–2, 11–16 (1964).

    Google Scholar 

  246. K. M. Rangaswamy, “Characterisation of intersections of neat subgroups of Abelian groups,” J. Indian Math. Soc.,29, Nos. 1–2, 31–36 (1965).

    Google Scholar 

  247. K. M. Rangaswamy, “Groups with special properties,” Proc. Nat. Inst. Sci. India,A31, No. 6, 513–526, 1965 (1966).

    Google Scholar 

  248. K. M. Rangaswamy, “Abelian groups with endomorphic images of special types,” J. Algebra,6, No. 3, 271–280 (1967).

    Google Scholar 

  249. K. M. Rangaswamy, “Representing Baer rings as endomorphism rings,” Math. Ann.,190, No. 2, 167–176 (1970).

    Google Scholar 

  250. W. Rautenberg, “Axiomatische Theorie der Translationsgruppen affiner Räume und Translationsebenen,” Math. Nachr.,46, Nos. 1–6, 171–182 (1970).

    Google Scholar 

  251. F. Richman, “A class of rank-2 torsion free groups,” Études Groupes Abéliens, Paris-Berlin-Heidelberg-New York (1968), pp. 327–333.

    Google Scholar 

  252. R. Richman, “Thin Abelian p-groups,” Pacif. J. Math.,27, No. 3, 599–606 (1968).

    Google Scholar 

  253. F. Richman, “Extensions of p-bounded groups,” Arch. Math.,21, No. 5, 449–454 (1970).

    Google Scholar 

  254. F. Richman and C. P. Walker, “On a certain purification problem for primary Abelian groups,” Bull. Soc. Math., France,94, No. 3, 207–210, 1966 (1967).

    Google Scholar 

  255. F. Richman and E. A. Walker, “Primary Abelian groups as modules over their endomorphism rings,” Math. Z.,89, No. 1, 77–81 (1965).

    Google Scholar 

  256. F. Richman and E. A. Walker, “Cotorsion free, and example of relative injectivity,” Math. Z.,102, No. 2, 115–117 (1967).

    Google Scholar 

  257. F. Richman and E. A. Walker, “Extending Ulm's theorem without group theory,” Proc. Amer. Math. Soc.,21, No. 1, 194–196 (1969).

    Google Scholar 

  258. F. Richman, C. P. Walker, and E. A. Walker, “Projective classes of Abelian groups,” Études Groupes Abéliens, Paris-Berlin-Heidelberg-New York (1968), pp. 335–343.

    Google Scholar 

  259. E. de Robert, “Généralisation d'un théorème de T. Szele et d'un probleme de L. Fuchs,” C. r. Acad. Sci.,263, No. 6, A237-A240 (1966).

    Google Scholar 

  260. J. Schafer, “Abelian groups with a vanishing homology group,” Can. J. Math.,21, No. 2, 406–409 (1969).

    Google Scholar 

  261. P. Schultz, “Periodic homomorphism sequences of Abelian groups,” Arch. Math.,21, No. 2, 132–135 (1970).

    Google Scholar 

  262. H. Schwerdtfeger, “On dependence in Abelian groups,” Amer. Math. Mon.,73, No. 5, 519–521 (1966).

    Google Scholar 

  263. K. Simauti, “On N-high subgroups of Abelian p-groups,” Comment. Math. Univ. St. Pauli,16, No. 1, 1–3 (1967).

    Google Scholar 

  264. K. Simauti, “On Abelian groups in which every neat subgroup is a pure subgroup,” Comment. Math. Univ. St. Pauli,17, No. 2, 105–110 (1969).

    Google Scholar 

  265. D. A. Smith, “Circularly generated Abelian groups,” Fibonacci Quart.,6, No. 1, 36–45 (1968).

    Google Scholar 

  266. P. L. Sperry, “On generating systems for Abelian groups,” Proc. Amer. Math. Soc.,24, No. 1, 148–153 (1970).

    Google Scholar 

  267. T. A. Springer, “De hoofdstelling voor Abelse groepen,” Nieuw tijdschr. wisk.,54, No. 6, 252–253 (1967).

    Google Scholar 

  268. S. K. Stein, “Factoring by subsets,” Pacif. J. Math.,22, No. 3, 523–541 (1967).

    Google Scholar 

  269. A. E. Stratton, “A note on ext-completions,” J. Algebra,17, No. 1, 110–115 (1971).

    Google Scholar 

  270. R. W. Stringal, “A problem on endomorphism of primary Abelian groups,” Proc Amer. Math. Soc.,17, No. 3, 742–743 (1966).

    Google Scholar 

  271. R. W. Stringall, “Endomorphism rings of primary Abelian groups,” Pacif. J. Math.,20, No. 3, 535–557 (1967).

    Google Scholar 

  272. R. W. Stringall, “Endomorphism rings of Abelian groups generated by automorphism groups,” Acta Math. Acad. Sci. Hung.,18, Nos. 3–4, 401–404 (1967).

    Google Scholar 

  273. T. Tamura, “Abelian groups and ℜ-semigroups,” Proc. Jap. Acad.,46, No. 3, 212–216 (1970).

    Google Scholar 

  274. D. (J. D.) Tarwater, “Galois theory of Abelian groups,” Math. Z.,95, No. 1, 50–59 (1967).

    Google Scholar 

  275. D. (J. D.) Tarwater, “Galois cohomolgy of Abelian groups,” Pacif. J. Math.,24, No. 1, 177–179 (1968).

    Google Scholar 

  276. D. (J. D.) Tarwater, “Homogeneous primary Abelian groups,” Proc. Amer. Math. Soc.,24, No. 1, 55 154#x2013;155 (1970).

    Google Scholar 

  277. D. (J. D.) Tarwater and R. C. Entringer, “Sums of complexes in torsion-free Abelian groups,” Can. Math. Bull.,12, No. 4, 475–478 (1969).

    Google Scholar 

  278. C. P. Walker, “Properties of Ext and quasi-splitting of Abelian groups,” Acta Math. Acad. Sci. Hung.,15, Nos. 1–2, 157–160 (1964).

    Google Scholar 

  279. C. P. Walker, “Relative homological algebra and Abelian groups,” Ill. J. Math.,10, No. 2, 186–209 (1966).

    Google Scholar 

  280. E. A. Walker, “Quotient categories and quasi-isomorphisms of Abelian groups,” Proc. Colloq. on Abelian Groups, 1963, Budapest, Hung. Acad. Sci. (1964), pp. 147–162.

  281. E. A. Walker, “On n-extensions of Abelian groups,” Ann. Univ. Sci. Budapest, Ser. Math.,8, 71–74 (1965).

    Google Scholar 

  282. J. D. Waller, “Generalized torsion complete groups,” Études Groupes Abéliens, Paris-Berlin-Heidelberg-New York (1968), pp. 345–356.

    Google Scholar 

  283. R. B. Warfield, Jr., “Homomorphisms and duality for torsion-free groups,” Math. Z.,107, No. 3, 189–200 (1968).

    Google Scholar 

  284. R. B. Warfield, Jr., “An isomorphic refinement theorem for Abelian groups,” Pacif. J. Math.,34, No. 1, 237–255 (1970).

    Google Scholar 

  285. G. K. White, “On subgroups of fixed index,” Pacif. J. Math.,28, No. 1, 225–232 (1969).

    Google Scholar 

  286. J. Wiegold, “Ext (Q, Z) is the additive group of real numbers,” Bull. Austral. Math. Soc.,1, No. 3, 341–343 (1969).

    Google Scholar 

  287. K. G. Wolfson, “Isomorphisms of the endomorphism rings of a class of torsion-free modules,” Proc. Amer. Math. Soc.,14, No. 4, 589–594 (1963).

    Google Scholar 

  288. H. Zassenhaus, “A condition for the compatibility of submodules of a module,” J. Number Theory,1, No. 4, 467–476 (1969).

    Google Scholar 

  289. H. Zassenhaus, “On a problem of H.-G. Steiner,” J. Number Theory,2, No. 3, 322–328 (1970).

    Google Scholar 

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Translated from Itogi Nauki i Tekhniki, Seriya Matematika (Algebra, Topologiya, Geometriya), Vol. 10, pp. 5–45, 1972.

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Mishina, A.P. Algebra. J Math Sci 2, 239–263 (1974). https://doi.org/10.1007/BF01085604

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