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Pchelintsev, Sergey Valentinovich
Professor
Doctor of physico-mathematical sciences (1987)
Birth date: 8.04.1952
E-mail:

https://www.mathnet.ru/eng/person8716
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/191624
https://orcid.org/0000-0001-7857-9532

Publications in Math-Net.Ru Citations
2025
1. V. I. Glizburg, Zh. M. Onerbek, S. V. Pchelintsev, “On nil-elements and idempotents in the simple three-dimensional commutative unital algebras”, Fundam. Prikl. Mat., 25:3 (2025),  27–53  mathnet
2. V. I. Glizburg, S. V. Pchelintsev, “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  mathnet; Russian Math. (Iz. VUZ), 69:3 (2025), 12–18
3. S. V. Pchelintsev, “On classification of the right-alternative singular 10-dimensional superalgebras of diagonal type”, Sibirsk. Mat. Zh., 66:1 (2025),  88–105  mathnet; Siberian Math. J., 66:1 (2025), 78–94
2024
4. S. V. Pchelintsev, I. P. Shestakov, “Finite generatedness of Veronese subalgebras of a free alternative algebra of finite rank”, Algebra Logika, 63:1 (2024),  77–88  mathnet; Algebra and Logic, 63:1 (2024), 56–64
5. S. V. Pchelintsev, M. S. Dubrovin, “Derivations of simple three-dimensional anticommutative algebras”, Journal of the Belarusian State University. Mathematics and Informatics, 2 (2024),  19–26  mathnet
6. S. V. Pchelintsev, “Structure of the variety of alternative algebras with the Lie-nilpotency identity of degree 5”, Sibirsk. Mat. Zh., 65:1 (2024),  164–179  mathnet; Siberian Math. J., 65:1 (2024), 139–152
2023
7. S. V. Pchelintsev, “Associative and Jordan Lie nilpotent algebras”, Algebra Logika, 62:5 (2023),  614–636  mathnet; Algebra and Logic, 62:5 (2023), 413–429
8. S. V. Pchelintsev, O. V. Shashkov, “Simple right alternative superalgebras”, Fundam. Prikl. Mat., 24:4 (2023),  171–197  mathnet; J. Math. Sci., 284:4 (2024), 527–544 1
9. S. V. Pchelintsev, “On identities of model algebras”, Izv. RAN. Ser. Mat., 87:6 (2023),  103–120  mathnet  mathscinet  zmath; Izv. Math., 87:6 (2023), 1210–1226  isi  scopus
10. S. V. Pchelintsev, “Frobenius Relations for Associative Lie Nilpotent Algebras”, Mat. Zametki, 113:3 (2023),  417–422  mathnet  mathscinet; Math. Notes, 113:3 (2023), 414–419  scopus
11. S. V. Pchelintsev, “Binary $(-1,1)$-bimodules over semisimple algebras”, Sib. Èlektron. Mat. Izv., 20:2 (2023),  1605–1625  mathnet
12. S. V. Pchelintsev, “Product theorems for alternative algebras and some of their applications”, Sibirsk. Mat. Zh., 64:2 (2023),  383–404  mathnet  mathscinet; Siberian Math. J., 64:2 (2023), 374–392 2
2022
13. S. V. Pchelintsev, O. V. Shashkov, “Structure of singular superalgebras with $2$-dimensional even part and new examples of singular superalgebras”, Algebra Logika, 61:6 (2022),  742–765  mathnet; Algebra and Logic, 61:6 (2022), 506–523 3
14. V. I. Glizburg, S. V. Pchelintsev, “On finitely based $\mathrm{T}$-spaces of free Lie nilpotent algebras of rank $2$”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 10,  3–10  mathnet; Russian Math. (Iz. VUZ), 66:10 (2022), 1–7
15. L. I. Murakami, S. V. Pchelintsev, O. V. Shashkov, “Right alternative unital bimodules over the matrix algebras of order $\geq 3$”, Sibirsk. Mat. Zh., 63:4 (2022),  893–910  mathnet; Siberian Math. J., 63:4 (2022), 743–757 2
2021
16. L. R. Borisova, V. I. Glizburg, S. V. Pchelintsev, “One-sided isotopes of finite-dimensional algebras”, Fundam. Prikl. Mat., 23:4 (2021),  3–16  mathnet; J. Math. Sci., 269:4 (2023), 443–452 1
17. S. V. Pchelintsev, O. V. Shashkov, “Algebraically generated superalgebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 6,  67–83  mathnet; Russian Math. (Iz. VUZ), 65:6 (2021), 57–72 5
18. S. V. Pchelintsev, “Central isotopes of $(-1,1)$-algebras”, Sibirsk. Mat. Zh., 62:4 (2021),  830–844  mathnet  elib; Siberian Math. J., 62:4 (2021), 678–690  isi  scopus 1
2020
19. S. V. Pchelintsev, “Identities of prime alternative algebras”, Algebra Logika, 59:2 (2020),  215–238  mathnet; Algebra and Logic, 59:2 (2020), 147–164  isi  scopus
20. S. V. Pchelintsev, “Isotopes of alternative algebras of characteristic different from $3$”, Izv. RAN. Ser. Mat., 84:5 (2020),  197–210  mathnet  zmath  elib; Izv. Math., 84:5 (2020), 1002–1015  isi  scopus 3
21. L. R. Borisova, S. V. Pchelintsev, “On the structure of alternative bimodules over semisimple artinian algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 8,  3–10  mathnet; Russian Math. (Iz. VUZ), 64:8 (2020), 1–7  isi  scopus 2
22. L. R. Borisova, S. V. Pchelintsev, “Triple Lie systems associated with $(-1,1)$ algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 3,  80–84  mathnet; Russian Math. (Iz. VUZ), 64:3 (2020), 72–75  isi  scopus
23. S. V. Pchelintsev, O. V. Shashkov, “Simple right-alternative superalgebras with semisimple even part”, Sibirsk. Mat. Zh., 61:2 (2020),  385–407  mathnet  elib; Siberian Math. J., 61:2 (2020), 304–321  isi  scopus 1
24. S. V. Pchelintsev, “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  mathnet; Siberian Math. J., 61:1 (2020), 139–153  isi 3
2019
25. S. V. Pchelintsev, O. V. Shashkov, “Simple asymmetric doubles, their automorphisms and derivations”, Algebra Logika, 58:5 (2019),  627–649  mathnet; Algebra and Logic, 58:5 (2019), 417–433  isi  scopus 1
26. S. V. Pchelintsev, O. V. Shashkov, “Simple right-alternative unital superalgebras over an algebra of matrices of order $2$”, Algebra Logika, 58:1 (2019),  108–131  mathnet; Algebra and Logic, 58:1 (2019), 77–94  isi  scopus 3
27. S. V. Pchelintsev, “Relatively free associative Lie nilpotent algebras of rank $3$”, Sib. Èlektron. Mat. Izv., 16 (2019),  1937–1946  mathnet 4
2018
28. S. V. Pchelintsev, O. V. Shashkov, “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  mathnet  mathscinet  zmath  elib; Izv. Math., 82:3 (2018), 578–595  isi  scopus 9
29. S. V. Pchelintsev, O. V. Shashkov, “Singular 6-dimensional superalgebras”, Sib. Èlektron. Mat. Izv., 15 (2018),  92–105  mathnet 5
30. S. V. Pchelintsev, “Identities of the model algebra of multiplicity 2”, Sibirsk. Mat. Zh., 59:6 (2018),  1389–1411  mathnet  elib; Siberian Math. J., 59:6 (2018), 1105–1124  isi  scopus 5
31. S. V. Pchelintsev, “Prime algebras connected with monsters”, Sibirsk. Mat. Zh., 59:2 (2018),  433–452  mathnet  elib; Siberian Math. J., 59:2 (2018), 341–356  isi  scopus
2017
32. S. V. Pchelintsev, I. P. Shestakov, “Constants of partial derivations and primitive operations”, Algebra Logika, 56:3 (2017),  317–347  mathnet; Algebra and Logic, 56:3 (2017), 210–231  isi  scopus 4
33. S. V. Pchelintsev, O. V. Shashkov, “Simple finite-dimensional right-alternative unital superalgebras with strongly associative even part”, Mat. Sb., 208:4 (2017),  73–86  mathnet  mathscinet  zmath  elib; Sb. Math., 208:4 (2017), 531–545  isi  scopus 10
34. S. V. Pchelintsev, O. V. Shashkov, “Simple finite-dimensional right-alternative superalgebras with semisimple strongly associative even part”, Mat. Sb., 208:2 (2017),  55–69  mathnet  mathscinet  zmath  elib; Sb. Math., 208:2 (2017), 223–236  isi  scopus 12
35. S. V. Pchelintsev, O. V. Shashkov, “Simple $5$-dimensional right alternative superalgebras with trivial even part”, Sibirsk. Mat. Zh., 58:6 (2017),  1387–1400  mathnet  elib; Siberian Math. J., 58:6 (2017), 1078–1089  isi  scopus 8
36. S. V. Pchelintsev, “Identities of metabelian alternative algebras”, Sibirsk. Mat. Zh., 58:4 (2017),  894–915  mathnet  elib; Siberian Math. J., 58:4 (2017), 693–710  isi  elib  scopus 3
2016
37. S. V. Pchelintsev, O. V. Shashkov, “Simple right alternative superalgebras of Abelian type whose even part is a field”, Izv. RAN. Ser. Mat., 80:6 (2016),  247–257  mathnet  mathscinet  zmath  elib; Izv. Math., 80:6 (2016), 1231–1241  isi  scopus 14
38. S. V. Pchelintsev, O. V. Shashkov, “Simple Finite-Dimensional Right Alternative Superalgebras with Unitary Even Part over a Field of Characteristic $0$”, Mat. Zametki, 100:4 (2016),  577–585  mathnet  mathscinet  elib; Math. Notes, 100:4 (2016), 589–596  isi  scopus 12
39. A. V. Grishin, S. V. Pchelintsev, “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  mathnet  mathscinet  zmath  elib; Sb. Math., 207:12 (2016), 1674–1692  isi  scopus 13
40. S. V. Pchelintsev, “Isotopes of the alternative monster and the Skosyrsky algebra”, Sibirsk. Mat. Zh., 57:4 (2016),  850–865  mathnet  elib; Siberian Math. J., 57:4 (2016), 666–678  isi  elib  scopus 7
2015
41. S. V. Pchelintsev, O. V. Shashkov, “Simple finite-dimensional right-alternative superalgebras of Abelian type of characteristic zero”, Izv. RAN. Ser. Mat., 79:3 (2015),  131–158  mathnet  mathscinet  zmath  elib; Izv. Math., 79:3 (2015), 554–580  isi  scopus 20
42. A. V. Grishin, S. V. Pchelintsev, “On centres of relatively free associative algebras with a Lie nilpotency identity”, Mat. Sb., 206:11 (2015),  113–130  mathnet  mathscinet  zmath  elib; Sb. Math., 206:11 (2015), 1610–1627  isi  scopus 21
2014
43. S. V. Pchelintsev, “Degenerate alternative algebras”, Sibirsk. Mat. Zh., 55:2 (2014),  396–411  mathnet  mathscinet; Siberian Math. J., 55:2 (2014), 323–335  isi  scopus 8
2013
44. S. V. Pchelintsev, “On the Commutator Nilpotency Step of Strictly $(-1,1)$-Algebras”, Mat. Zametki, 93:5 (2013),  764–771  mathnet  mathscinet  zmath  elib; Math. Notes, 93:5 (2013), 756–762  isi  elib  scopus 5
45. S. V. Pchelintsev, “Commutator identities of the homotopes of $(-1,1)$-algebras”, Sibirsk. Mat. Zh., 54:2 (2013),  417–435  mathnet  mathscinet; Siberian Math. J., 54:2 (2013), 325–340  isi  scopus 6
2010
46. S. V. Pchelintsev, “Isotopes of prime $(-1,1)$- and Jordan algebras”, Algebra Logika, 49:3 (2010),  388–423  mathnet  mathscinet  zmath  elib; Algebra and Logic, 49:3 (2010), 262–288  elib  scopus 16
2007
47. S. V. Pchelintsev, “On identities of right alternative metabelian Grassmann algebras”, Fundam. Prikl. Mat., 13:2 (2007),  157–183  mathnet  mathscinet  zmath  elib; J. Math. Sci., 154:2 (2008), 230–248  elib  scopus 6
48. S. V. Pchelintsev, “Exceptional prime alternative algebras”, Sibirsk. Mat. Zh., 48:6 (2007),  1322–1337  mathnet  mathscinet  zmath  elib; Siberian Math. J., 48:6 (2007), 1060–1073  isi  elib  scopus 10
2006
49. S. V. Pchelintsev, “Structure of finitely generated commutative alternative algebras and special Moufang loops”, Mat. Zametki, 80:3 (2006),  413–420  mathnet  mathscinet  zmath  elib; Math. Notes, 80:3 (2006), 396–402  isi  scopus 3
50. S. V. Pchelintsev, “Irreducible binary $(-1,1)$-bimodules over simple finite-dimensional algebras”, Sibirsk. Mat. Zh., 47:5 (2006),  1139–1146  mathnet  mathscinet  zmath  elib; Siberian Math. J., 47:5 (2006), 934–939  isi  elib  scopus 4
2004
51. S. V. Pchelintsev, “Prime alternative algebras that are nearly commutative”, Izv. RAN. Ser. Mat., 68:1 (2004),  183–206  mathnet  mathscinet  zmath; Izv. Math., 68:1 (2004), 181–204  isi  scopus 17
52. S. V. Pchelintsev, “Nilpotency of the alternator ideal of a finitely generated binary $(-1,1)$-algebra”, Sibirsk. Mat. Zh., 45:2 (2004),  427–451  mathnet  mathscinet  zmath  elib; Siberian Math. J., 45:2 (2004), 356–375  isi 1
2003
53. S. V. Pchelintsev, “Speciality of Metabelian Mal"tsev Algebras”, Mat. Zametki, 74:2 (2003),  257–266  mathnet  mathscinet  zmath; Math. Notes, 74:2 (2003), 245–254  isi  scopus 6
2002
54. S. V. Pchelintsev, “On central ideals of finitely generated binary $(-1,1)$-algebras”, Mat. Sb., 193:4 (2002),  113–134  mathnet  mathscinet  zmath  elib; Sb. Math., 193:4 (2002), 585–607  isi  scopus 7
2001
55. S. V. Pchelintsev, “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  mathnet  mathscinet  zmath 6
56. S. V. Pchelintsev, “On identities of free finitely generated alternative algebras over a field of characteristic 3”, Mat. Sb., 192:9 (2001),  109–124  mathnet  mathscinet  zmath; Sb. Math., 192:9 (2001), 1365–1380  isi  scopus 5
2000
57. S. V. Pchelintsev, “An almost Spechtian variety of alternative algebras over a field of characteristic 3”, Mat. Sb., 191:6 (2000),  127–144  mathnet  mathscinet  zmath; Sb. Math., 191:6 (2000), 909–925  isi  scopus 9
1999
58. S. V. Pchelintsev, “Varieties of solvable index-two alternative algebras over a field of characteristic three”, Mat. Zametki, 66:4 (1999),  556–566  mathnet  mathscinet; Math. Notes, 66:4 (1999), 455–463  isi 9
1998
59. S. V. Pchelintsev, “Prime alternative algebras”, Fundam. Prikl. Mat., 4:2 (1998),  651–657  mathnet  mathscinet  zmath 4
1994
60. S. V. Pchelintsev, “Mal'tsev-admissible right-alternative nilalgebras of bounded index”, Sibirsk. Mat. Zh., 35:4 (1994),  847–852  mathnet  mathscinet  zmath; Siberian Math. J., 35:4 (1994), 754–759  isi 2
1991
61. S. V. Pchelintsev, “On the torsion of a free alternative ring”, Sibirsk. Mat. Zh., 32:6 (1991),  142–149  mathnet  mathscinet  zmath; Siberian Math. J., 32:6 (1991), 1017–1023  isi 8
1990
62. S. V. Pchelintsev, “Binary-$(-1,1)$-nilalgebras”, Mat. Zametki, 48:1 (1990),  103–109  mathnet  mathscinet  zmath; Math. Notes, 48:1 (1990), 689–693  isi 3
1989
63. S. V. Pchelintsev, “Identities of a free $(-1,1)$-algebra of rank $3$”, Trudy Inst. Mat. Sib. Otd. AN SSSR, 16 (1989),  110–131  mathnet  mathscinet  zmath
64. S. V. Pchelintsev, “Locally Noetherian and locally representable varieties of alternative algebras”, Sibirsk. Mat. Zh., 30:1 (1989),  134–144  mathnet  mathscinet  zmath; Siberian Math. J., 30:1 (1989), 104–112  isi 4
1987
65. S. V. Pchelintsev, “On varieties generated by free $(-1,1)$ algebras of finite rank”, Sibirsk. Mat. Zh., 28:2 (1987),  149–158  mathnet  mathscinet  zmath; Siberian Math. J., 28:2 (1987), 299–306  isi 6
1986
66. S. V. Pchelintsev, “On the variety of $(-1,1)$ algebras”, Algebra Logika, 25:2 (1986),  154–171  mathnet  mathscinet 3
67. S. V. Pchelintsev, “Prime algebras and absolute zero divisors”, Izv. Akad. Nauk SSSR Ser. Mat., 50:1 (1986),  79–100  mathnet  mathscinet  zmath; Math. USSR-Izv., 28:1 (1987), 79–98 16
1985
68. S. V. Pchelintsev, “Nilpotent elements and nil-radicals of alternative algebras”, Algebra Logika, 24:6 (1985),  674–695  mathnet  mathscinet 12
69. S. V. Pchelintsev, “The Kegel theorem for alternative algebras”, Sibirsk. Mat. Zh., 26:5 (1985),  195–196  mathnet  mathscinet  zmath
1984
70. S. V. Pchelintsev, “Solvability and nilpotency of alternative algebras and algebras of type $(-1,1)$”, Trudy Inst. Mat. Sib. Otd. AN SSSR, 4 (1984),  81–101  mathnet  mathscinet  zmath
71. S. V. Pchelintsev, “A theorem on height for alternative algebras”, Mat. Sb. (N.S.), 124(166):4(8) (1984),  557–567  mathnet  mathscinet  zmath; Math. USSR-Sb., 52:2 (1985), 541–551 12
1983
72. S. V. Pchelintsev, “Baire chains of alternative PI-algebras”, Algebra Logika, 22:6 (1983),  636–648  mathnet  mathscinet 2
73. S. V. Pchelintsev, “Meta-ideals of alternative algebras”, Sibirsk. Mat. Zh., 24:3 (1983),  142–148  mathnet  mathscinet  zmath; Siberian Math. J., 24:3 (1983), 433–439  isi 4
1982
74. S. V. Pchelintsev, “Absolute zero divisors of special Jordan algebras”, Algebra Logika, 21:6 (1982),  706–720  mathnet  mathscinet 1
1981
75. S. V. Pchelintsev, “Varieties of algebras that are solvable of index 2”, Mat. Sb. (N.S.), 115(157):2(6) (1981),  179–203  mathnet  mathscinet  zmath; Math. USSR-Sb., 43:2 (1982), 159–180 12
76. S. V. Pchelintsev, “On the variety generated by a free algebra of type $(-1,1)$ rank $2$”, Sibirsk. Mat. Zh., 22:3 (1981),  162–178  mathnet  mathscinet  zmath; Siberian Math. J., 22:3 (1981), 454–466  isi 4
1977
77. G. V. Dorofeev, S. V. Pchelintsev, “Varieties of standard and accessible algebras”, Sibirsk. Mat. Zh., 18:5 (1977),  995–1001  mathnet  mathscinet  zmath; Siberian Math. J., 18:5 (1977), 702–707  isi 2
1976
78. S. V. Pchelintsev, “Identities defining a certain variety of right-alternative algebras”, Mat. Zametki, 20:2 (1976),  161–176  mathnet  mathscinet  zmath; Math. Notes, 20:2 (1976), 651–659 7
79. S. V. Pchelintsev, “The locally nilpotent radical in certain classes of right alternative rings”, Sibirsk. Mat. Zh., 17:2 (1976),  340–360  mathnet  mathscinet  zmath; Siberian Math. J., 17:2 (1976), 265–280  isi 9
1975
80. S. V. Pchelintsev, “Nilpotency of the associator ideal of a free finitely generated $(-1,$ $1)$-ring”, Algebra Logika, 14:5 (1975),  543–571  mathnet  mathscinet 7
1974
81. S. V. Pchelintsev, “A free $(-1,1)$-algebra with two generators”, Algebra Logika, 13:4 (1974),  425–449  mathnet  mathscinet 6
82. S. V. Pchelintsev, “Nilpotency of the associators in a free $(-1,\,1)$-ring”, Algebra Logika, 13:2 (1974),  217–223  mathnet  mathscinet
2023
83. N. H. Agakhanov, N. N. Andreev, S. N. Askhabov, N. M. Dobrovolsky, A. Domoshnitsky, S. A. Dorichenko, M. V. Zaitsev, I. A. Ivanov-Pogodaev, A. A. Kolchev, S. Malev, I. V. Mitrofanov, A. A. Mikhalev, S. P. Mishchenko, V. G. Navodnov, Yu. V. Nesterenko, A. M. Pesin, F. V. Petrov, S. V. Pchelintsev, A. M. Raigorodsky, Ph. D. Rukhovich, L. M. Samoilov, A. L. Semenov, V. A. Timorin, O. N. Tulupov, M. I. Kharitonov, A. L. Chernyatiev, A. A. Chilikov, V. N. Chubarikov, A. I. Shafarevich, “Alexey Yakovlevich Kanel-Belov”, Chebyshevskii Sb., 24:4 (2023),  380–400  mathnet
2020
84. N. M. Adrianov, V. A. Artamonov, I. N. Balaba, Yu. A. Bahturin, L. A. Bokut', V. V. Borisenko, E. I. Bunina, S. A. Gaifullin, S. T. Glavatsky, I. Z. Golubchik, S. González, A. V. Grishin, A. È. Guterman, N. I. Dubrovin, M. V. Zaicev, E. I. Zel'manov, N. K. Il'ina, A. Ya. Kanel-Belov, A. L. Kanunnikov, E. S. Kislitsyn, A. A. Klyachko, I. B. Kozhukhov, E. M. Kreines, O. V. Kulikova, T. P. Lukashenko, O. V. Markova, C. Martínez, A. A. Mikhalev, A. V. Mikhalev, A. Yu. Ol'shanskii, A. E. Pentus, A. V.A. Petrov, Yu. G. Prokhorov, S. V. Pchelintsev, V. V. Tenzina, D. A. Timashev, A. A. Tuganbaev, I. N. Tumaikin, V. K. Kharchenko, I. A. Chubarov, A. A. Shafarevich, A. I. Shafarevich, I. P. Shestakov, E. E. Shirshova, V. É. Shpil'rain, “Viktor Timofeevich Markov (21.06.1948—15.07.2019)”, Fundam. Prikl. Mat., 23:2 (2020),  3–16  mathnet; J. Math. Sci., 262:5 (2022), 592–602

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