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Grishin Aleksandr Vladimirovich

Publications in Math-Net.Ru

  1. On the torsion in the general linear group and the diagonalization algorithm

    Fundam. Prikl. Mat., 23:4 (2021),  55–71
  2. The asymptotic approach to the description of the center of a relatively free Lie-nilpotent algebra

    Fundam. Prikl. Mat., 23:3 (2020),  83–94
  3. Asymptotic Behavior in Lie Nilpotent Relatively Free Algebras and Extended Grassmann Algebras

    Mat. Zametki, 107:6 (2020),  848–854
  4. On the measure of inclusion in relatively free algebras with the identity of Lie nilpotency of degree 3 or 4

    Mat. Sb., 210:2 (2019),  75–86
  5. Asymptotics of the Codimensions $c_n$ in the Algebra $F^{(7)}$

    Mat. Zametki, 104:1 (2018),  25–32
  6. On the additive structure and asymptotics of codimensions $c_n$ in the algebra $F^{(5)}$

    Fundam. Prikl. Mat., 21:1 (2016),  93–104
  7. Proper central and core polynomials of relatively free associative algebras with identity of Lie nilpotency of degrees 5 and 6

    Mat. Sb., 207:12 (2016),  54–72
  8. On centres of relatively free associative algebras with a Lie nilpotency identity

    Mat. Sb., 206:11 (2015),  113–130
  9. On strong indecomposability of the Dedekind ring localization

    Fundam. Prikl. Mat., 19:2 (2014),  43–49
  10. On $T$-spaces in a relatively free two-generated Lie nilpotent associative algebra of index $4$

    Fundam. Prikl. Mat., 17:4 (2012),  133–139
  11. $\mathcal E$-closed groups and modules

    Fundam. Prikl. Mat., 17:2 (2012),  97–106
  12. On the Center of a Relatively Free Lie-Nilpotent Algebra of Index $4$

    Mat. Zametki, 91:1 (2012),  147–148
  13. On $T$-spaces and relations in relatively free, Lie nilpotent, associative algebras

    Fundam. Prikl. Mat., 16:3 (2010),  135–148
  14. On the structure of the centre of a relatively free Grassmann algebra

    Uspekhi Mat. Nauk, 65:4(394) (2010),  191–192
  15. On the structure of a relatively free Grassmann algebra

    Fundam. Prikl. Mat., 15:8 (2009),  3–93
  16. On the multiplicative and $T$-space structure of the relatively free Grassmann algebra

    Mat. Sb., 200:9 (2009),  41–80
  17. On independent systems in unitary relatively free algebras

    Fundam. Prikl. Mat., 14:8 (2008),  69–71
  18. On T-spaces and related concepts and results

    Fundam. Prikl. Mat., 14:5 (2008),  77–84
  19. Two theorems on the structure of a relatively free Grassmann algebra

    Uspekhi Mat. Nauk, 63:4(382) (2008),  181–182
  20. On $T$-spaces of $n$-words over a field of characteristic $p>0$

    Uspekhi Mat. Nauk, 62:4(376) (2007),  145–146
  21. Structural and algorithmic problems in $T$-spaces over a field of characteristic $p>0$

    Uspekhi Mat. Nauk, 60:3(363) (2005),  175–176
  22. On the level of representability relative to free associative algebras

    Uspekhi Mat. Nauk, 59:4(358) (2004),  193–194
  23. Model algebras, multiplicities, and representability indices of varieties of associative algebras

    Mat. Sb., 195:1 (2004),  3–20
  24. Multiplicities and indices of representability of non-matrix varieties of algebras

    Uspekhi Mat. Nauk, 58:6(354) (2003),  143–144
  25. Index of representability of a variety of associative algebras

    Uspekhi Mat. Nauk, 57:4(346) (2002),  169–170
  26. An application of generalized polynomials to the estimation of the multiplicity of certain varieties of associative algebras

    Mat. Sb., 193:3 (2002),  25–36
  27. On the existence of a finite basis in a $T$-space of generalized polynomials and on representability

    Uspekhi Mat. Nauk, 56:4(340) (2001),  133–134
  28. Examples of T-spaces and T-ideals over a field of characteristic 2 without the finite basis property

    Fundam. Prikl. Mat., 5:1 (1999),  101–118
  29. The variety of associative rings is not a Specht variety

    Uspekhi Mat. Nauk, 54:5(329) (1999),  157–158
  30. On the finite basis property of abstract $T$-spaces

    Fundam. Prikl. Mat., 1:3 (1995),  669–700
  31. On finitely based systems of generalized polynomials

    Izv. Akad. Nauk SSSR Ser. Mat., 54:5 (1990),  899–927
  32. The growth exponent of a variety of algebras and its applications

    Algebra Logika, 26:5 (1987),  536–557
  33. On the solvability of certain problems of supersonic flow around a wedge within the framework of the Lavrent'ev–Bitsadze approximation

    Zh. Vychisl. Mat. Mat. Fiz., 26:12 (1986),  1868–1877
  34. Asymptotic properties of free finitely generated algebras in certain varieties

    Algebra Logika, 22:6 (1983),  608–625
  35. The multiplicative group of a field

    Uspekhi Mat. Nauk, 28:6(174) (1973),  201–202
  36. On the theory of intersection at a normal point of an algebraic surface

    Uspekhi Mat. Nauk, 28:5(173) (1973),  235–236

  37. Viktor Timofeevich Markov (21.06.1948—15.07.2019)

    Fundam. Prikl. Mat., 23:2 (2020),  3–16
  38. Alexander Alexandrovich Fomin (to the 70th anniversary)

    Chebyshevskii Sb., 20:2 (2019),  579–582


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