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Pchelintsev Sergey Valentinovich

Publications in Math-Net.Ru

  1. On nil-elements and idempotents in the simple three-dimensional commutative unital algebras

    Fundam. Prikl. Mat., 25:3 (2025),  27–53
  2. On the structure of $\mathrm T$-spaces of free associative Grassmann algebra of rank $2$

    Izv. Vyssh. Uchebn. Zaved. Mat., 2025, no. 3,  17–24
  3. On classification of the right-alternative singular 10-dimensional superalgebras of diagonal type

    Sibirsk. Mat. Zh., 66:1 (2025),  88–105
  4. Finite generatedness of Veronese subalgebras of a free alternative algebra of finite rank

    Algebra Logika, 63:1 (2024),  77–88
  5. Derivations of simple three-dimensional anticommutative algebras

    Journal of the Belarusian State University. Mathematics and Informatics, 2 (2024),  19–26
  6. Structure of the variety of alternative algebras with the Lie-nilpotency identity of degree 5

    Sibirsk. Mat. Zh., 65:1 (2024),  164–179
  7. Associative and Jordan Lie nilpotent algebras

    Algebra Logika, 62:5 (2023),  614–636
  8. Simple right alternative superalgebras

    Fundam. Prikl. Mat., 24:4 (2023),  171–197
  9. On identities of model algebras

    Izv. RAN. Ser. Mat., 87:6 (2023),  103–120
  10. Frobenius Relations for Associative Lie Nilpotent Algebras

    Mat. Zametki, 113:3 (2023),  417–422
  11. Binary $(-1,1)$-bimodules over semisimple algebras

    Sib. Èlektron. Mat. Izv., 20:2 (2023),  1605–1625
  12. Product theorems for alternative algebras and some of their applications

    Sibirsk. Mat. Zh., 64:2 (2023),  383–404
  13. Structure of singular superalgebras with $2$-dimensional even part and new examples of singular superalgebras

    Algebra Logika, 61:6 (2022),  742–765
  14. On finitely based $\mathrm{T}$-spaces of free Lie nilpotent algebras of rank $2$

    Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 10,  3–10
  15. Right alternative unital bimodules over the matrix algebras of order $\geq 3$

    Sibirsk. Mat. Zh., 63:4 (2022),  893–910
  16. One-sided isotopes of finite-dimensional algebras

    Fundam. Prikl. Mat., 23:4 (2021),  3–16
  17. Algebraically generated superalgebras

    Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 6,  67–83
  18. Central isotopes of $(-1,1)$-algebras

    Sibirsk. Mat. Zh., 62:4 (2021),  830–844
  19. Identities of prime alternative algebras

    Algebra Logika, 59:2 (2020),  215–238
  20. Isotopes of alternative algebras of characteristic different from $3$

    Izv. RAN. Ser. Mat., 84:5 (2020),  197–210
  21. On the structure of alternative bimodules over semisimple artinian algebras

    Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 8,  3–10
  22. Triple Lie systems associated with $(-1,1)$ algebras

    Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 3,  80–84
  23. Simple right-alternative superalgebras with semisimple even part

    Sibirsk. Mat. Zh., 61:2 (2020),  385–407
  24. Construction and applications of an additive basis for the relatively free associative algebra with the lie nilpotency identity of degree 5

    Sibirsk. Mat. Zh., 61:1 (2020),  175–193
  25. Simple asymmetric doubles, their automorphisms and derivations

    Algebra Logika, 58:5 (2019),  627–649
  26. Simple right-alternative unital superalgebras over an algebra of matrices of order $2$

    Algebra Logika, 58:1 (2019),  108–131
  27. Relatively free associative Lie nilpotent algebras of rank $3$

    Sib. Èlektron. Mat. Izv., 16 (2019),  1937–1946
  28. Simple finite-dimensional right-alternative unital superalgebras with associative-commutative even part over a field of characteristic zero

    Izv. RAN. Ser. Mat., 82:3 (2018),  136–153
  29. Singular 6-dimensional superalgebras

    Sib. Èlektron. Mat. Izv., 15 (2018),  92–105
  30. Identities of the model algebra of multiplicity 2

    Sibirsk. Mat. Zh., 59:6 (2018),  1389–1411
  31. Prime algebras connected with monsters

    Sibirsk. Mat. Zh., 59:2 (2018),  433–452
  32. Constants of partial derivations and primitive operations

    Algebra Logika, 56:3 (2017),  317–347
  33. Simple finite-dimensional right-alternative unital superalgebras with strongly associative even part

    Mat. Sb., 208:4 (2017),  73–86
  34. Simple finite-dimensional right-alternative superalgebras with semisimple strongly associative even part

    Mat. Sb., 208:2 (2017),  55–69
  35. Simple $5$-dimensional right alternative superalgebras with trivial even part

    Sibirsk. Mat. Zh., 58:6 (2017),  1387–1400
  36. Identities of metabelian alternative algebras

    Sibirsk. Mat. Zh., 58:4 (2017),  894–915
  37. Simple right alternative superalgebras of Abelian type whose even part is a field

    Izv. RAN. Ser. Mat., 80:6 (2016),  247–257
  38. Simple Finite-Dimensional Right Alternative Superalgebras with Unitary Even Part over a Field of Characteristic $0$

    Mat. Zametki, 100:4 (2016),  577–585
  39. 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
  40. Isotopes of the alternative monster and the Skosyrsky algebra

    Sibirsk. Mat. Zh., 57:4 (2016),  850–865
  41. Simple finite-dimensional right-alternative superalgebras of Abelian type of characteristic zero

    Izv. RAN. Ser. Mat., 79:3 (2015),  131–158
  42. On centres of relatively free associative algebras with a Lie nilpotency identity

    Mat. Sb., 206:11 (2015),  113–130
  43. Degenerate alternative algebras

    Sibirsk. Mat. Zh., 55:2 (2014),  396–411
  44. On the Commutator Nilpotency Step of Strictly $(-1,1)$-Algebras

    Mat. Zametki, 93:5 (2013),  764–771
  45. Commutator identities of the homotopes of $(-1,1)$-algebras

    Sibirsk. Mat. Zh., 54:2 (2013),  417–435
  46. Isotopes of prime $(-1,1)$- and Jordan algebras

    Algebra Logika, 49:3 (2010),  388–423
  47. On identities of right alternative metabelian Grassmann algebras

    Fundam. Prikl. Mat., 13:2 (2007),  157–183
  48. Exceptional prime alternative algebras

    Sibirsk. Mat. Zh., 48:6 (2007),  1322–1337
  49. Structure of finitely generated commutative alternative algebras and special Moufang loops

    Mat. Zametki, 80:3 (2006),  413–420
  50. Irreducible binary $(-1,1)$-bimodules over simple finite-dimensional algebras

    Sibirsk. Mat. Zh., 47:5 (2006),  1139–1146
  51. Prime alternative algebras that are nearly commutative

    Izv. RAN. Ser. Mat., 68:1 (2004),  183–206
  52. Nilpotency of the alternator ideal of a finitely generated binary $(-1,1)$-algebra

    Sibirsk. Mat. Zh., 45:2 (2004),  427–451
  53. Speciality of Metabelian Mal"tsev Algebras

    Mat. Zametki, 74:2 (2003),  257–266
  54. On central ideals of finitely generated binary $(-1,1)$-algebras

    Mat. Sb., 193:4 (2002),  113–134
  55. The structure of weak identities on the Grassman envelopes of central-metabelian alternative superalgebras of superrank 1 over a field of characteristic 3

    Fundam. Prikl. Mat., 7:3 (2001),  849–871
  56. On identities of free finitely generated alternative algebras over a field of characteristic 3

    Mat. Sb., 192:9 (2001),  109–124
  57. An almost Spechtian variety of alternative algebras over a field of characteristic 3

    Mat. Sb., 191:6 (2000),  127–144
  58. Varieties of solvable index-two alternative algebras over a field of characteristic three

    Mat. Zametki, 66:4 (1999),  556–566
  59. Prime alternative algebras

    Fundam. Prikl. Mat., 4:2 (1998),  651–657
  60. Mal'tsev-admissible right-alternative nilalgebras of bounded index

    Sibirsk. Mat. Zh., 35:4 (1994),  847–852
  61. On the torsion of a free alternative ring

    Sibirsk. Mat. Zh., 32:6 (1991),  142–149
  62. Binary-$(-1,1)$-nilalgebras

    Mat. Zametki, 48:1 (1990),  103–109
  63. Identities of a free $(-1,1)$-algebra of rank $3$

    Trudy Inst. Mat. Sib. Otd. AN SSSR, 16 (1989),  110–131
  64. Locally Noetherian and locally representable varieties of alternative algebras

    Sibirsk. Mat. Zh., 30:1 (1989),  134–144
  65. On varieties generated by free $(-1,1)$ algebras of finite rank

    Sibirsk. Mat. Zh., 28:2 (1987),  149–158
  66. On the variety of $(-1,1)$ algebras

    Algebra Logika, 25:2 (1986),  154–171
  67. Prime algebras and absolute zero divisors

    Izv. Akad. Nauk SSSR Ser. Mat., 50:1 (1986),  79–100
  68. Nilpotent elements and nil-radicals of alternative algebras

    Algebra Logika, 24:6 (1985),  674–695
  69. The Kegel theorem for alternative algebras

    Sibirsk. Mat. Zh., 26:5 (1985),  195–196
  70. Solvability and nilpotency of alternative algebras and algebras of type $(-1,1)$

    Trudy Inst. Mat. Sib. Otd. AN SSSR, 4 (1984),  81–101
  71. A theorem on height for alternative algebras

    Mat. Sb. (N.S.), 124(166):4(8) (1984),  557–567
  72. Baire chains of alternative PI-algebras

    Algebra Logika, 22:6 (1983),  636–648
  73. Meta-ideals of alternative algebras

    Sibirsk. Mat. Zh., 24:3 (1983),  142–148
  74. Absolute zero divisors of special Jordan algebras

    Algebra Logika, 21:6 (1982),  706–720
  75. Varieties of algebras that are solvable of index 2

    Mat. Sb. (N.S.), 115(157):2(6) (1981),  179–203
  76. On the variety generated by a free algebra of type $(-1,1)$ rank $2$

    Sibirsk. Mat. Zh., 22:3 (1981),  162–178
  77. Varieties of standard and accessible algebras

    Sibirsk. Mat. Zh., 18:5 (1977),  995–1001
  78. Identities defining a certain variety of right-alternative algebras

    Mat. Zametki, 20:2 (1976),  161–176
  79. The locally nilpotent radical in certain classes of right alternative rings

    Sibirsk. Mat. Zh., 17:2 (1976),  340–360
  80. Nilpotency of the associator ideal of a free finitely generated $(-1,$ $1)$-ring

    Algebra Logika, 14:5 (1975),  543–571
  81. A free $(-1,1)$-algebra with two generators

    Algebra Logika, 13:4 (1974),  425–449
  82. Nilpotency of the associators in a free $(-1,\,1)$-ring

    Algebra Logika, 13:2 (1974),  217–223

  83. Alexey Yakovlevich Kanel-Belov

    Chebyshevskii Sb., 24:4 (2023),  380–400
  84. Viktor Timofeevich Markov (21.06.1948—15.07.2019)

    Fundam. Prikl. Mat., 23:2 (2020),  3–16

© Steklov Math. Inst. of RAS, 2025