Skip to main content
SpringerLink
Log in

On the centenary of the birth of academician Anatolii Ivanovich Mal’tsev (1909–1967)

  • Published:
Computational Mathematics and Mathematical Physics Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

List of Mal’tsev’s Publications

  1. “Untersuchungen aus dem Gebite der mathematischen Logik,” Mat. Sb. 1, 323–336 (1936).

  2. “On the Immersion of an Algebraic Ring into a Field,” Math. Ann. 113, 686–691 (1937).

  3. “Torsion-Free Abelian Groups of Finite Rank,” Mat. Sb. 4, 45–68 (1938).

  4. “On Inclusion of Associative Systems in Groups,” Mat. Sb. 6, 331–336 (1939).

  5. “On Inclusion of Associative Systems in Groups II,” Mat. Sb. 8, 251–264 (1940).

  6. “On Isomorphic Representation of Infinite Groups by Matrices,” Mat. Sb. 8, 405–422 (1940).

  7. “On a General Method for Deriving Local Theorems in Group Theory,” Uchen. Zap. Ped. Inst., Fiz.-Mat. Fak. Ivanovo 1(1), 3–9 (1941).

  8. “On Local and Complete Topological Groups,” Dokl. Akad. Nauk SSSR 32, 606–608 (1941).

  9. “Review of the Book Continuous Groups by L. S. Pontryagin,” Izv. Akad. Nauk SSSR, Ser. Mat. 5, 445–447 (1941).

  10. “Decomposition of Algebra into the Direct Sum of a Radical and Semisimple Subalgebra,” Dokl. Akad. Nauk SSSR 36, 46–50 (1942).

  11. “On the Structure of Lie Groups on the Whole,” Dokl. Akad. Nauk SSSR 37, 3–6 (1942).

  12. “On Simple Connectedness of Normal Divisors of Lie Groups,” Dokl. Akad. Nauk SSSR 34, 12–15 (1942).

  13. “Subgroups of Lie Groups on the Whole,” Dokl. Akad. Nauk SSSR 36, 5–8 (1942).

  14. “On Linear Connected Locally Closed Groups,” Dokl. Akad. Nauk SSSR 40, 108–110 (1943).

  15. “On Representations of Infinite Algebras,” Mat. Sb. 13, 263–285 (1943).

  16. “Orthogonal and Symplectic Representations of Semisimple Lie Groups,” Dokl. Akad. Nauk SSSR 41, 332–335 (1943).

  17. “On Semisimple Subgroups of Lie Groups,” Izv. Akad. Nauk SSSR, Ser. Mat. 8(4), 143–174 (1944).

  18. “Commutative Subalgebras of Semisimple Lie Algebras,” Izv. Akad. Nauk SSSR, Ser. Mat. 9, 291–300 (1945).

  19. “On Solvable Lie Algebras,” Izv. Akad. Nauk SSSR, Ser. Mat. 9, 329–352 (1945).

    Google Scholar 

  20. “On the Theory of the Lie Groups in the Large,” Mat. Sb. 16(2), 163–189 (1945).

  21. “Topological Solvable Groups,” Mat. Sb. 19(2), 165–173 (1946).

    Google Scholar 

  22. “Remark on the Article ‘One Gaussian Formula in the Theory of Least Squares’ by A. N. Kolmogorov, A. A. Petrov, and Yu. M. Smirnov,” Izv. Akad. Nauk SSSR, Ser. Mat. 11, 567–568 (1947).

  23. “On Inclusion of Group Algebras in Division Algebra,” Dokl. Akad. Nauk SSSR 60, 1499–1501 (1948).

    Google Scholar 

  24. “On Groups of Finite Rank,” Mat. Sb. 22, 351–352 (1948).

  25. “On Normalized Lie Algebras over the Field of Rational Numbers,” Dokl. Akad. Nauk SSSR 62, 745–748 (1948).

  26. Foundations of Linear Algebra (Moscow, Gostekhizdat, 1948) [in Russian].

  27. “Topological Algebra and Lie Groups,” Mathematics in the USSR over 30 Years (Gostekhizdat, Moscow, 1948), pp. 134–158.

  28. “Torsion-Free Nilpotent Groups,” Izv. Akad. Nauk SSSR, Ser. Mat. 13, 201–212 (1949).

  29. “On Infinite Solvable Groups,” Dokl. Akad. Nauk SSSR 67, 23–25 (1949).

  30. “On a Class of Homogeneous Spaces,” Izv. Akad. Nauk SSSR, Ser. Mat. 13, 9–32 (1949).

  31. “On Ordered Groups,” Izv. Akad. Nauk SSSR, Ser. Mat. 13, 473–482 (1949).

    Google Scholar 

  32. “Generalized Nilpotent Algebras and Their Associated Groups,” Mat. Sb. 25, 347–366 (1949).

  33. “On Algebras with Identical Defining Relations,” Mat. Sb. 26(1), 19–33 (1950).

  34. On Semisimple Subgroups of Lie Groups (Am. Math. Soc., Providence, 1950).

  35. Solvable Lie Algebras (Am. Math. Soc., Providence, 1950).

  36. “Talk Given at the Ivanovo Regional Conference of Peace Supporters,” Rabochii Krai, September 16, 1951.

  37. “On Ordering of Groups,” Tr. Mat. Inst. Akad. Nauk SSSR, 38, 173–175 (1951).

  38. “On Certain Classes of Infinite Solvable Groups,” Mat. Sb. 28, 567–588 (1951).

  39. Commutative Subalgebras of Semisimple Lie Algebras (Am. Math. Soc. Transl., 1951).

  40. On a Class of Homogeneous Spaces (Am. Math. Soc. Transl., 1951).

  41. On Solvable Topological Groups (Am. Math. Soc. Transl., 1951).

  42. “Groups,” in Large Soviet Encyclopedia (Moscow, 1952), Vol. 13, pp. 138–143 [in Russian].

  43. “Invariants,” in Large Soviet Encyclopedia (Moscow, 1952), Vol. 17, pp. 613–614 [in Russian].

  44. “On a Representation of Nonassociative Rings,” Usp. Mat. Nauk 7(1), 181–185 (1952).

  45. “Review of the Book Course in Higher Algebra by A. G. Kurosh” (Moscow, Sov. Kniga, 1952), No. 12, pp. 21–22.

  46. “Symmetric Groupoids,” Mat. Sb. 31(1), 136–151 (1952).

  47. “Soviet Science Serves the Noble Cause of Peace,” Rabochii Krai, October 5, 1952.

  48. “All Commitments to Cause of Peace!” [Talk Given at the Meeting of the Ivanovo Regional Peace Committee], Rabochii Krai, September 19, 1953.

  49. “Multiplicative Comparisons of Matrices,” Dokl. Akad. Nauk SSSR 90, 333–335 (1953).

  50. “Nilpotent Semigroups,” Uchen. Zap. Ivanovo Gos. Ped. Inst. Ser. Fiz.-Mat. Nauk 4, 107–111 (1953).

  51. “On a Class of Algebraic Systems,” Usp. Mat. Nauk 8(1), 165–171 (1953).

  52. “On the General Theory of Algebraic Systems,” Mat. Sb. 35(1), 3–20 (1954).

  53. “We Are Peaceful People,” Leninets, December 30, 1954.

  54. “Analytical Loupes,” Mat. Sb. 36, 569–576 (1955).

  55. “Two Remarks on Nilpotent Groups,” Mat. Sb. 37, 567–572 (1955).

  56. “Algebraic Systems,” Proceedings of the Third All-Union Congress of Mathematicians (Moscow, 1956), Vol. 2, p. 8.

  57. “Group and Other Algebraic Systems,” Mathematics, Its Content, Methods, and Value (Moscow, Akad. Nauk SSSR, 1956), Vol. 3, pp. 248–331.

  58. “On Partially Ordered Groups,” Uchen. Zap. Ivanovo Gos. Ped. Inst. Ser. Fiz.-Mat. Nauk 10, 3–5 (1956).

  59. “Quasi-Primitive Classes of Abstract Algebras,” Dokl. Akad. Nauk SSSR 108, 187–189 (1956).

  60. “On Representations of Models,” Dokl. Akad. Nauk SSSR 108, 27–29 (1956).

  61. Foundations of Linear Algebra, 2nd ed. (Moscow, Gostekhizdat, 1956) [in Russian].

  62. “Subdirect Products of Models,” Dokl. Akad. Nauk SSSR 109, 264–266 (1956).

  63. “On Certain Classes of Infinite Solvable Groups,” Am. Math. Soc. Transl. Ser II 2, 1–21 (1956).

  64. “Defense of Peace Is the Most Important Business of Mankind,” Bloknot Agitatora, No. 23, 6–15 (1957).

  65. “On Classes of Models with Generation Operation,” Dokl. Akad. Nauk SSSR 116, 738–741 (1957).

  66. “On Derivative Operations and Predicates,” Dokl. Akad. Nauk SSSR 116, 24–27 (1957).

  67. “Free Topological Algebras,” Izv. Akad. Nauk SSSR, Ser. Mat. 21(2), 171–198 (1957).

    Google Scholar 

  68. “On Homomorphisms onto Finite Groups,” Usp. Mat. Nauk 13, 237–238 (1958).

  69. “On Homomorphisms onto Finite Groups,” Uchen. Zap. Ivanovo Gos. Ped. Inst. 18, 49–60 (1968).

  70. “On Certain Classes of Models,” Dokl. Akad. Nauk SSSR 120, 245–248 (1958).

  71. “Defining Relations in Categories,” Dokl. Akad. Nauk SSSR 119, 1095–1098 (1958).

  72. “Structural Characteristic of Certain Classes of Algebras,” Dokl. Akad. Nauk SSSR 120, 29–32 (1958).

  73. “Great Movement of the Present: On the 10th Anniversary of the World Movement of Peace Supporters,” Rabochii Krai, April 19, 1959.

  74. “Model Correspondences,” Izv. Akad. Nauk SSSR, Ser. Mat 28, 313–336 (1959).

  75. “On Small Models,” Dokl. Akad. Nauk SSSR 127, 258–261 (1959).

    Google Scholar 

  76. “On a Correspondence between Rings and Groups,” Usp. Mat. Nauk 4, 208–209 (1959).

  77. “Regular Products of Models,” Izv. Akad. Nauk SSSR, Ser. Mat. 23, 489–502 (1959).

  78. “On the Undecidability of Elementary Theories of Certain Fields,” Sib. Mat. Zh. 1, 71–77 (1960).

  79. “On Free Solvable Groups,” Dokl. Akad. Nauk SSSR 130, 495–498 (1960).

  80. “On a Correspondence between Rings and Groups,” Mat. Sb. 50, 257–266 (1960).

  81. Recursive Functions (Novosibirsk, 1960) [in Russian].

  82. “On Free Soluble Groups,” Sov. Math. Dokl. 1, 65–68 (1960).

  83. “Remark on the Paper ‘On the Undecidability of Elementary Theories of Certain Fields,’” Sib. Mat. Zh. 2, 639 (1961).

  84. “Constructive Algebras 1,” Usp. Mat. Nauk 16(3), 3–60 (1961).

    Google Scholar 

  85. Certain Problems of the Modern Theory of Classes of Models (Novosibirsk, 1961) [in Russian].

  86. “Undecidability of the Elementary Theory of Finite Groups,” Dokl. Akad. Nauk SSSR 138, 771–774 (1961).

  87. “On Elementary Theories of Locally Free Universal Algebras,” Dokl. Akad. Nauk SSSR 138, 1009–1012 (1961).

  88. “Elementary Properties of Linear Groups,” in Certain Problems in Mathematics and Mechanics (Novosibirsk, 1961), pp. 110–132 [in Russian].

  89. “Effective Inseparability of the Set of Identically True from the Set of Finitely Refutable Formulas of Certain Elementary Theories,” Dokl. Akad. Nauk SSSR 139, 802–805 (1961).

  90. “Modern State of the Theory of Classes of Models,” Fourth All-Union Congress of Mathematicians, 1961: Abstracts of Plenary Talks (Leningrad, 1961), pp. 19–21.

  91. “Constructive Algebras I,” Russ. Math. Surv. 16(3), 7–129 (1961).

  92. “Effective Inseparability of the Set of Identically True from the Set of Finitely Refutable Formulas of Certain Elementary Theories,” Sov. Math. Dokl. 2, 1005–1008 (1961).

  93. “Free Topological Algebras,” Am. Math. Soc. Transl. Ser II 17, 173–200 (1961).

  94. “On the Elementary Theories of Locally Free Universal Algebras,” Sov. Math. Dokl. 2, 768–771 (1961).

  95. “Undecidability of the Elementary Theory of Finite Groups,” Sov. Math. Dokl. 2, 714–717 (1961).

  96. Algebra and Logic: Seminar (Sib. Otd. Akad. Nauk SSSR, Ins. Mat. Novosibirsk, 1962), Vol. 1 [in Russian].

  97. “Axiomatizable Classes of Locally Free Algebras of Some Types,” Sib. Mat. Zh. 3, 729–743 (1962).

  98. “On Recursive Abelian Groups,” Dokl. Akad. Nauk SSSR 146, 1009–1012 (1962).

  99. “On Partially Ordered Nilpotent Groups,” Algebra Logika Semin. 1, 1(2), 5–9 (1962).

  100. “On the Equation zxyx-1y-1z-1 = aba-1b-1 in Free Group,” Algebra Logika Semin. 1, 1(5), 45–50 (1962).

  101. “Sergei Nikolaevich Chernikov: On the 50th Birthday,” Usp. Mat. Nauk 17(5), 177–181 (1962) (with V. S. Charin).

    Google Scholar 

  102. “Strongly Related Models and Recursively Complete Algebras,” Dokl. Akad. Nauk SSSR 145, 276–279 (1962).

  103. “Strongly Related Models and Recursively Complete Algebras,” Sov. Math. Dokl. 3, 987–991 (1962).

  104. “Theories of the First Order of Some Classes of Groups and Rings,” International Congress of Mathematicians: Abstracts of Short Communications (Stockholm, 1962), pp. 3.10–3.11.

  105. “Certain Problems in the Theory of Classes of Models,” Proceedings of the Fourth All-Union Congress of Mathematicians (Leningrad, 1963, 1, 188–198).

  106. “On Certain Problems in the Theory of Constructive Algebras,” Fifth All-Union Colloquium on General Algebra: Abstracts of Talks (Novosibirsk, 1963), p. 38.

  107. “On First-Step Theories of Certain Classes of Groups and Rings,” Proceedings of International Congress of Mathematicians (Stockholm, 1962).

  108. “Completely Indexed Sets,” Algebra Logika Semin. 2, 2(2), 4–29 (1963).

    Google Scholar 

  109. “Complete Numerations,” Fifth All-Union Colloquium on General Algebra: Abstracts of Talks (Novosibirsk, 1963), p. 38.

  110. Foundations of Linear Algebra (Freeman, San Francisco, 1963).

  111. “On Recursive Abelian Groups,” Sov. Math. Dokl. 3, 1431–1434 (1963).

  112. “On the General Theory of Algebraic Systems,” Am. Math. Soc. Transl. Ser II 27, 125–142 (1963).

  113. “On the Theory of Computable Families of Objects,” Algebra Logika Semin. 3 (3(4), 5–31 1964).

  114. “Regular Products of Models,” Am. Math. Soc. Transl. Ser II 39, 193–206 (1964).

  115. Algorithms and Recursive Functions (Moscow, Nauka, 1965) [in Russian].

  116. “Petr Grigor’evich Kontorovich: On the 60th Birthday,” Usp. Mat. Nauk 20, 209–212 (1965) (with B. I. Plotkin).

    MATH  Google Scholar 

  117. “Positive and Negative Numerations,” Dokl. Akad. Nauk SSSR 160, 278–280 (1965).

  118. “Foreword to the Russian Edition of Logic, Methodology, and Philosophy of Science” (Stanford Univ. Press, Stanford, Calif., 1962; Moscow, Mir, 1965).

  119. “On a Correspondence between Rings and Groups,” Am. Math. Soc. Transl. Ser II 45, 221–231 (1965).

  120. “On the Faithful Representation of Infinite Groups by Matrices,” Am. Math. Soc. Transl. Ser II 45, 1–18 (1965).

  121. “On the Undecidability of Elementary Theories of Certain Fields,” Am. Math. Soc. Transl. Ser II 48, 36–43 (1965).

  122. “Positive and Negative Numerations,” Sov. Math. Dokl. 6, 75–77 (1965).

  123. Logic, Methodology, and Philosophy of Science, Ed. by A. I. Maltsev (Stanford Univ. Press, Stanford, Calif., 1962; Moscow, Mir, 1965).

    Google Scholar 

  124. “Iterative Algebras and Post Manifolds,” Algebra Logika Semin. 5, 5(2), 5–24 (1966).

  125. “Several Remarks on Quasi-Varieties of Algebraic Systems,” Algebra Logika Semin. 5, 5(3), 3–9 (1966).

  126. “On Certain Borderline Problems in Algebra and Mathematical Logic,” International Congress of Mathematicians: Abstracts of Invited Talks (Moscow, 1966), p. 26.

  127. “On Standard Notation and Terminology in the Theory of Algebraic Systems,” Algebra Logic: Seminar 5, 5(1), 71–77 (1966).

  128. “Identical Relations on Manifolds of Quasigroups,” Mat. Sb. 69(1), 3–12 (1966).

  129. “Everyone Needs Mathematics,” Pravda, January 29, 1967.

  130. “On a Strengthening of the Theorems of Slupetskii and Yablonskii,” Algebra Logika Semin. 6, 6(3), 61–74 (1967).

  131. “On Multiplication of Classes of Algebraic Systems,” Sib. Mat. Zh. 8, 346–365 (1967).

  132. “Universally Axiomatizable Subclasses of Locally Finite Classes of Models,” Sib. Mat. Zh. 8, 1005–1014 (1967).

  133. “Sergei Antonovich Chunikhin: On the 60th Birthday,” Usp. Mat. Nauk 22(2), 189–197 (1967) (with S. A. Safonov, S. N. Chernikov, and L. A. Shemetkov).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia

    M. K. Kerimov

Authors
  1. M. K. Kerimov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. K. Kerimov.

Additional information

Original Russian Text © M.K. Kerimov, 2010, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2010, Vol. 50, No. 11, pp. 1875–1882.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kerimov, M.K. On the centenary of the birth of academician Anatolii Ivanovich Mal’tsev (1909–1967). Comput. Math. and Math. Phys. 50, 1777–1782 (2010). https://doi.org/10.1134/S0965542510110011

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0965542510110011

Search

Navigation