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Zaicev Mikhail Vladimirovich

Publications in Math-Net.Ru

  1. Research activity of the Chair of Higher Algebra

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2025, no. 1,  10–16
  2. Codimensions of identities of solvable Lie superalgebras

    Izv. RAN. Ser. Mat., 88:4 (2024),  44–60
  3. Overexponential codimension growth of identities with involution

    Fundam. Prikl. Mat., 24:3 (2023),  105–117
  4. Maximal PI-exponents of finite-dimensional algebras

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023, no. 3,  64–67
  5. Colength Growth Functions of Nonassociative Algebras

    Mat. Zametki, 109:3 (2021),  370–379
  6. The theory of formal languages and identities of nonassociative algebras

    Sibirsk. Mat. Zh., 61:2 (2020),  322–329
  7. Combinatorics on binary words and codimensions of identities in left nilpotent algebras

    Algebra Logika, 58:1 (2019),  35–51
  8. Codimension sequences and their asymptotic behavior

    Fundam. Prikl. Mat., 22:4 (2019),  115–127
  9. Growth of codimensions of metabelian algebras

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017, no. 6,  15–20
  10. Exponential growth of codimensions of identities of algebras with unity

    Mat. Sb., 206:10 (2015),  103–126
  11. Graded identities in finite-dimensional algebras of codimensions of identities in associative algebras

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, no. 5,  54–57
  12. A Four-Dimensional Simple Algebra with Fractional PI-Exponent

    Mat. Zametki, 95:4 (2014),  538–553
  13. Asymptotic growth of codimensions of identities of associative algebras

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 3,  54–56
  14. Codimension growth of algebras with adjoint unit

    Fundam. Prikl. Mat., 18:3 (2013),  11–26
  15. Identities of unitary finite-dimensional algebras

    Algebra Logika, 50:5 (2011),  563–594
  16. Exponents of Identities of Group Rings

    Mat. Zametki, 89:5 (2011),  643–651
  17. A sufficient condition for coincidence of lower and upper exponents of the variety of linear algebras

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011, no. 2,  36–39
  18. Identities for Lie superalgebras with a nilpotent commutator subalgebra

    Algebra Logika, 47:5 (2008),  617–645
  19. Finite-dimensional simple graded algebras

    Mat. Sb., 199:7 (2008),  21–40
  20. An example of a variety of linear algebras with fractional-polynomial growth

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2008, no. 1,  25–31
  21. Growth of some varieties of Lie superalgebras

    Izv. RAN. Ser. Mat., 71:4 (2007),  3–18
  22. On the growth of the identities of algebras

    Algebra Discrete Math., 2006, no. 2,  50–61
  23. Colength of varieties of linear algebras

    Mat. Zametki, 79:4 (2006),  553–559
  24. Minimal varieties of given codimension growth

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2003, no. 1,  20–22
  25. Integrality of exponents of codimension growth of finite-dimensional Lie algebras

    Izv. RAN. Ser. Mat., 66:3 (2002),  23–48
  26. Asymptotics of the codimension growth functions of the standard identity and the Capelli identities

    Uspekhi Mat. Nauk, 57:6(348) (2002),  179–180
  27. Lie algebras with maximality condition for Abelian subalgebras

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2002, no. 5,  27–32
  28. Finite gradings of simple Artinian rings

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2001, no. 3,  21–24
  29. On the polynomial growth of the colength of varieties of Lie algebras

    Algebra Logika, 38:2 (1999),  161–175
  30. Asymptotic behaviour of the colength growth functions of varieties of Lie algebras

    Uspekhi Mat. Nauk, 54:3(327) (1999),  161–162
  31. $G$-identities of non-associative algebras

    Mat. Sb., 190:11 (1999),  3–14
  32. A new extremal property of the variety $\mathbf{AN}_2$ of Lie algebras

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1999, no. 5,  15–18
  33. A superrank of varieties of Lie algebras

    Algebra Logika, 37:4 (1998),  394–412
  34. A criterion for polynomial growth of varieties of Lie superalgebras

    Izv. RAN. Ser. Mat., 62:5 (1998),  103–116
  35. Identities of special Jordan algebras with finite grading

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1998, no. 2,  26–29
  36. Varieties of affine Kac–Moody algebras

    Mat. Zametki, 62:1 (1997),  95–102
  37. Varieties of Lie superalgebras of polynomial growth

    Uspekhi Mat. Nauk, 52:2(314) (1997),  165–166
  38. On an extremal variety of Lie superalgebras

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1997, no. 6,  18–20
  39. Identities of affine Kac–Moody algebras

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1996, no. 2,  33–36
  40. Skew-symmetric identities in special Lie algebras

    Mat. Sb., 186:1 (1995),  65–78
  41. Residual finiteness and representability of Lie algebras

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1995, no. 3,  88–91
  42. Standard identity and Capelli identities in Lie algebras

    Uspekhi Mat. Nauk, 49:2(296) (1994),  153–154
  43. Special Lie algebras

    Uspekhi Mat. Nauk, 48:6(294) (1993),  103–140
  44. The base rank of varieties of Lie algebras

    Mat. Sb., 184:9 (1993),  21–40
  45. The standard identity in special varieties of Lie algebras

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1993, no. 1,  56–59
  46. On finite separability of relatively free Lie algebras

    Izv. Vyssh. Uchebn. Zaved. Mat., 1992, no. 10,  16–21
  47. Locally representable varieties of Lie superalgebras

    Mat. Zametki, 52:5 (1992),  33–41
  48. Almost locally representable varieties of Lie algebras

    Mat. Zametki, 51:3 (1992),  9–15
  49. On the embeddability of relatively free Lie algebras

    Uspekhi Mat. Nauk, 47:4(286) (1992),  191–192
  50. Identities of finite-dimensional nilpotent Lie algebras

    Izv. Vyssh. Uchebn. Zaved. Mat., 1991, no. 10,  36–39
  51. Locally Hopf varieties of Lie algebras

    Mat. Zametki, 45:6 (1989),  56–60
  52. Matrix representations of infinite-dimensional Lie algebras

    Uspekhi Mat. Nauk, 44:1(265) (1989),  199–200
  53. Locally representable varieties of Lie algebras

    Mat. Sb., 180:6 (1989),  798–808
  54. Locally residually finite varieties of Lie algebras

    Mat. Zametki, 44:3 (1988),  352–361
  55. Residual finiteness and the Noetherian property of finitely generated Lie algebras

    Mat. Sb. (N.S.), 136(178):4(8) (1988),  500–509
  56. On decomposability of commutators of varieties of Lie algebras and groups into products

    Mat. Sb. (N.S.), 116(158):3(11) (1981),  315–330
  57. Schreier varieties of Lie algebras

    Mat. Zametki, 28:1 (1980),  119–126
  58. On finitely based varieties of Lie algebras

    Mat. Sb. (N.S.), 106(148):4(8) (1978),  499–506

  59. Askar Akanovich Tuganbaev (to the 70th anniversary of his birth)

    Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2024, no. 87,  175–179
  60. Alexey Yakovlevich Kanel-Belov

    Chebyshevskii Sb., 24:4 (2023),  380–400
  61. Victor Nikolaevich Latyshev (obituary)

    Uspekhi Mat. Nauk, 77:1(463) (2022),  177–182
  62. In memory of Vyacheslav Alexandrovich Artamonov

    Chebyshevskii Sb., 22:5 (2021),  417–418
  63. Alexander Yuryevich Olshanskii (to the 75th anniversary)

    Chebyshevskii Sb., 22:2 (2021),  347–365
  64. Ualbai Utmakhanbetovich Umirbaev (on his 60th birthday)

    Uspekhi Mat. Nauk, 76:2(458) (2021),  187–192
  65. Viktor Timofeevich Markov (21.06.1948—15.07.2019)

    Fundam. Prikl. Mat., 23:2 (2020),  3–16
  66. Alexandr Alexandrovich Nechaev (7.8.1945–14.11.2014)

    Fundam. Prikl. Mat., 20:1 (2015),  3–7

© Steklov Math. Inst. of RAS, 2025