RUS  ENG
Full version
PEOPLE

Krasilnikov Aleksei Nikolaevich

Publications in Math-Net.Ru

  1. A Non-Finitely-Based Variety of Centrally Metabelian Pointed Groups

    Mat. Zametki, 95:5 (2014),  795–797
  2. Symmetric polynomials and nonfinitely generated $\mathrm{Sym}(\mathbb N)$-invariant ideals

    Fundam. Prikl. Mat., 18:3 (2013),  69–76
  3. The central polynomials for the finite dimensional Grassmann algebras

    Algebra Discrete Math., 2009, no. 3,  69–76
  4. On Some Extremal Varieties of Associative Algebras

    Mat. Zametki, 78:4 (2005),  542–558
  5. On solvable groups of exponent 4

    Sibirsk. Mat. Zh., 44:1 (2003),  69–72
  6. On the finite basis property of a variety of associative algebras

    Fundam. Prikl. Mat., 8:2 (2002),  495–501
  7. Applications of the Magnus embedding in the theory of varieties of groups and Lie algebras

    Fundam. Prikl. Mat., 5:2 (1999),  493–502
  8. On the semigroup nilpotency and the Lie nilpotency of associative algebras

    Mat. Zametki, 62:4 (1997),  510–519
  9. Identities of Lie algebras with nilpotent commutator ideal over a field of finite characteristic

    Mat. Zametki, 51:3 (1992),  47–52
  10. On the group of units of a ring whose associated Lie ring is metabelian

    Uspekhi Mat. Nauk, 47:6(288) (1992),  217–218
  11. The identities of a group with nilpotent commutator subgroup are finitely based

    Izv. Akad. Nauk SSSR Ser. Mat., 54:6 (1990),  1181–1195
  12. Identities of triangulable matrix representations of groups

    Tr. Mosk. Mat. Obs., 52 (1989),  229–245
  13. Finiteness of the basis of identities of finite-dimensional representations of solvable Lie algebras

    Sibirsk. Mat. Zh., 29:3 (1988),  78–86
  14. On the property of having a finite basis of some varieties of Lie algebras

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1982, no. 2,  34–38
  15. The Specht property and basis rank of some products of varieties of groups

    Algebra Logika, 20:5 (1981),  546–554


© Steklov Math. Inst. of RAS, 2026