Mishchenko Sergei Petrovich

Publications in Math-Net.Ru

1. Codimension sequences and their asymptotic behavior
   
   Fundam. Prikl. Mat., 22:4 (2019),  115–127
2. Variety with fractional codimension growth and the Specht problem
   
   Chebyshevskii Sb., 19:1 (2018),  176–186
3. Sturmian words and uncountable set of almost nilpotent varieties of quadratic growth
   
   Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017, no. 6,  55–59
4. Infinite periodic words and almost nilpotent varieties
   
   Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017, no. 4,  62–66
5. On varieties with identities of one generated free metabelian algebra
   
   Chebyshevskii Sb., 17:2 (2016),  21–55
6. On the varieties of commutative metabelian algebras
   
   Fundam. Prikl. Mat., 21:1 (2016),  165–180
7. Almost nilpotent varieties with non-integer exponents do exist
   
   Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2016, no. 3,  42–46
8. Almost nilpotent varieties of arbitrary integer exponent
   
   Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, no. 2,  53–57
9. On almost nilpotent varieties in the class of commutative metabelian algebras
   
   Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2015, no. 3(125),  21–28
10. Some Extremal Properties of the Variety of Leibniz Algebras Left Nilpotent of Class at Most Three
    
    Mat. Zametki, 95:6 (2014),  867–877
11. Basis of multilinear part of Leibniz algebras manifolds $\widetilde{\mathrm{V}}_1$
    
    Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2014, no. 3(114),  76–82
12. PI-exponents of some simple algebras with unit
    
    Fundam. Prikl. Mat., 18:4 (2013),  121–128
13. Example of a linear algebra variety with the polynomial growth lower than three
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2013, no. 3,  51–54
14. New properties of the Lie algebra variety $\mathbf N_2\mathbf A$
    
    Fundam. Prikl. Mat., 17:7 (2012),  165–173
15. 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
16. The Variety of Jordan Algebras Determined by the Identity $(xy)(zt)\equiv0$ Has Almost Polynomial Growth
    
    Mat. Zametki, 87:6 (2010),  877–884
17. The Leibniz algebras of almost polynomial growth with the identity $x(y(zt))\equiv0$
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2010, no. 3,  18–23
18. Varieties of linear algebras with colength one
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2010, no. 1,  25–30
19. Identities for Lie superalgebras with a nilpotent commutator subalgebra
    
    Algebra Logika, 47:5 (2008),  617–645
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. Necessary and sufficient conditions for a variety of Leibniz algebras to have polynomial growth
    
    Fundam. Prikl. Mat., 12:8 (2006),  207–215
23. Colength of varieties of linear algebras
    
    Mat. Zametki, 79:4 (2006),  553–559
24. On the polynomial growth of the colength of varieties of Lie algebras
    
    Algebra Logika, 38:2 (1999),  161–175
25. Asymptotic behaviour of the colength growth functions of varieties of Lie algebras
    
    Uspekhi Mat. Nauk, 54:3(327) (1999),  161–162
26. 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
27. A criterion for polynomial growth of varieties of Lie superalgebras
    
    Izv. RAN. Ser. Mat., 62:5 (1998),  103–116
28. A sufficient condition for the nilpotence of the commutant of a Lie algebra
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1998, no. 8,  43–47
29. Varieties of Lie superalgebras of polynomial growth
    
    Uspekhi Mat. Nauk, 52:2(314) (1997),  165–166
30. Lower bound on the dimensions or irreducible representations of symmetric groups and on the exponents of varieties of Lie algebras
    
    Mat. Sb., 187:1 (1996),  83–94
31. Standard Lie identity in solvable varieties of associative type
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1995, no. 4,  30–36
32. On the standard identity in solvable Lie algebras of degree three
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1993, no. 5,  63–66
33. Colored Young diagrams
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1993, no. 1,  90–91
34. Varieties of solvable Lie algebras with a distributive lattice of subvarieties
    
    Mat. Zametki, 52:2 (1992),  92–100
35. On varieties of Lie algebras not containing a three-dimensional simple algebra
    
    Mat. Sb., 183:6 (1992),  87–96
36. On some classes of Lie algebras
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1992, no. 3,  55–57
37. Identities of finite-dimensional nilpotent Lie algebras
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1991, no. 10,  36–39
38. Varieties of solvable Lie algebras
    
    Dokl. Akad. Nauk SSSR, 313:6 (1990),  1345–1348
39. A variant of a theorem on height for Lie algebras
    
    Mat. Zametki, 47:4 (1990),  83–89
40. Growth in varieties of Lie algebras
    
    Uspekhi Mat. Nauk, 45:6(276) (1990),  25–45
41. On solvable subvarieties of the variety generated by the Witt algebra
    
    Mat. Sb. (N.S.), 136(178):3(7) (1988),  413–425
42. Varieties of polynomial growth of Lie algebras over a field of characteristic zero
    
    Mat. Zametki, 40:6 (1986),  713–721
43. On the Engel problem
    
    Mat. Sb. (N.S.), 124(166):1(5) (1984),  56–67
44. The Engel identity and its application
    
    Mat. Sb. (N.S.), 121(163):3(7) (1983),  423–430
45. Varieties of hypercentral-metabelian Lie algebras over a field of characteristic zero
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1983, no. 5,  33–37
46. Varieties of Lie algebras with weak growth of the sequence of codimensions
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1982, no. 5,  63–66
47. Varieties of centrally metabelian Lie algebras over a field of characteristic zero
    
    Mat. Zametki, 30:5 (1981),  649–657


48. Alexey Yakovlevich Kanel-Belov
    
    Chebyshevskii Sb., 24:4 (2023),  380–400
49. Victor Nikolaevich Latyshev (obituary)
    
    Uspekhi Mat. Nauk, 77:1(463) (2022),  177–182