Budkin Aleksandr Ivanovich

Publications in Math-Net.Ru

1. Groups with restrictions on normal subgroups
   
   Algebra Logika, 63:1 (2024),  3–14
2. On the complexity of the lattice of quasivarieties of nilpotent groups
   
   Sib. Èlektron. Mat. Izv., 21:2 (2024),  1118–1131
3. Groups with nilpotent $n$-generated normal subgroups
   
   Sibirsk. Mat. Zh., 64:4 (2023),  733–741
4. On the independent axiomatizability of quasivarieties of nilpotent groups
   
   Sibirsk. Mat. Zh., 64:1 (2023),  28–39
5. Independent axiomatizability of quasivarieties of torsion-free nilpotent groups
   
   Algebra Logika, 60:2 (2021),  123–136
6. Locally free subgroups of one-relator groups
   
   Sib. Èlektron. Mat. Izv., 18:2 (2021),  1757–1770
7. Quasivarieties of nilpotent groups of axiomatic rank $4$
   
   Sib. Èlektron. Mat. Izv., 17 (2020),  2131–2141
8. On the quasivarieties generated by a finite group and lacking any independent bases of quasi-identities
   
   Sibirsk. Mat. Zh., 61:6 (2020),  1234–1246
9. $\omega$-Independent bases for quasivarieites of torsion-free groups
   
   Algebra Logika, 58:3 (2019),  320–333
10. On the $\omega $-independence of quasivarieties of nilpotence groups
    
    Sib. Èlektron. Mat. Izv., 16 (2019),  516–522
11. The operator $L_n$ on quasivarieties of universal algebras
    
    Sibirsk. Mat. Zh., 60:4 (2019),  724–733
12. On dominions of the rationals in nilpotent groups
    
    Sibirsk. Mat. Zh., 59:4 (2018),  759–772
13. On unsolvable $Q$-theories of ring varieties
    
    Sib. J. Pure and Appl. Math., 18:3 (2018),  20–26
14. On groups which are not finitely defined in every quasivariety of groups
    
    Sib. Èlektron. Mat. Izv., 14 (2017),  937–945
15. On $2$-closedness of the rational numbers in quasivarieties of nilpotent groups
    
    Sibirsk. Mat. Zh., 58:6 (2017),  1252–1266
16. On quasivarieties of axiomatic rank $3$ of torsion-free nilpotent groups
    
    Sibirsk. Mat. Zh., 58:1 (2017),  56–63
17. Dominions in solvable groups
    
    Algebra Logika, 54:5 (2015),  575–588
18. Absolute closedness of torsion-free Abelian groups in the class of metabelian groups
    
    Algebra Logika, 53:1 (2014),  15–25
19. On the closedness of a locally cyclic subgroup in a metabelian group
    
    Sibirsk. Mat. Zh., 55:6 (2014),  1240–1249
20. Dominions in Abelian subgroups of metabelian groups
    
    Algebra Logika, 51:5 (2012),  608–622
21. Semivarieties of nilpotent groups
    
    Algebra Logika, 49:5 (2010),  577–590
22. Dominions in quasivarieties of metabelian groups
    
    Sibirsk. Mat. Zh., 51:3 (2010),  498–505
23. Dominions of universal algebras and projective properties
    
    Algebra Logika, 47:5 (2008),  541–557
24. The quasivariety generated by a torsion-free Abelian-by-finite group
    
    Algebra Logika, 46:4 (2007),  407–427
25. Lattices of dominions of universal algebras
    
    Algebra Logika, 46:1 (2007),  26–45
26. Quasivariety Generated by Free Metabelian and 2-Nilpotent Groups
    
    Algebra Logika, 44:4 (2005),  389–398
27. The Lattice of Quasivarieties of Torsion-Free Metabelian Groups
    
    Algebra Logika, 42:2 (2003),  161–181
28. Quasivarieties with Torsion-Free Nilpotent Groups
    
    Algebra Logika, 40:6 (2001),  629–650
29. Levi classes generated by nilpotent groups
    
    Algebra Logika, 39:6 (2000),  635–647
30. On Levi quasivarieties generated by nilpotent groups
    
    Sibirsk. Mat. Zh., 41:2 (2000),  270–277
31. Quasivarieties of groups closed with respect to wreath products and wreath $Z$-products
    
    Algebra Logika, 38:3 (1999),  257–268
32. Levi quasivarieties
    
    Sibirsk. Mat. Zh., 40:2 (1999),  266–270
33. On maximal quasivarieties of groups
    
    Algebra Logika, 37:3 (1998),  279–290
34. Lattice of quasivarieties of nilpotent groups
    
    Algebra Logika, 33:1 (1994),  25–36
35. On the independent axiomatizability of quasimanifolds of universal algebras
    
    Mat. Zametki, 56:4 (1994),  28–37
36. Independent axiomatizability of quasivarieties of soluble groups
    
    Algebra Logika, 30:2 (1991),  125–153
37. Idempotents in the semigroup of quasivarieties of torsion-free groups
    
    Mat. Zametki, 47:5 (1990),  21–25
38. $Q$-theories of $2$-generated groups with a given axiomatic rank
    
    Algebra Logika, 28:5 (1989),  513–523
39. On filters in the lattice of quasivarieties of groups
    
    Izv. Akad. Nauk SSSR Ser. Mat., 52:4 (1988),  875–881
40. The axiomatic rank of a quasivariety of right-orderable groups
    
    Algebra Logika, 25:5 (1986),  499–507
41. Independent axiomatizability of quasivarieties of generalized solvable groups
    
    Algebra Logika, 25:3 (1986),  249–266
42. Coverings in the lattice of quasivarieties of groups
    
    Sibirsk. Mat. Zh., 27:3 (1986),  28–33
43. Quasivarieties of groups having no coverings
    
    Mat. Zametki, 37:5 (1985),  609–616
44. Quasi-identities and direct wreath products of groups
    
    Algebra Logika, 23:4 (1984),  367–382
45. Quasivarieties of groups closed with respect to restricted wreath products
    
    Mat. Sb. (N.S.), 121(163):4(8) (1983),  510–522
46. Independent axiomatizability of quasivarieties of groups
    
    Mat. Zametki, 31:6 (1982),  817–826
47. The axiomatic rank of a quasivariety containing a free solvable group
    
    Mat. Sb. (N.S.), 112(154):4(8) (1980),  647–655
48. Quasi-identities of nilpotent groups and groups with one defining relation
    
    Algebra Logika, 18:2 (1979),  127–136
49. Quasi-identities in a free group
    
    Algebra Logika, 15:1 (1976),  39–52
50. On the theory of quasivarieties of algebraic systems
    
    Algebra Logika, 14:2 (1975),  123–142
51. Semivarieties and Schreier varieties of unary algebras
    
    Mat. Zametki, 15:2 (1974),  263–270
52. Implicative classes of algebras
    
    Algebra Logika, 12:3 (1973),  249–268