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Budkin, Aleksandr Ivanovich
Professor
Doctor of physico-mathematical sciences (1990)
Speciality: 01.01.00 (Mathematics)
Birth date: 24.05.1951
E-mail: ,
Keywords: group, universal algebra, quasivariety, variety
UDC: 510.57, 512.543, 512.54.01, 519.48, 512.57, 512.5

Subject:

Algebra, logic, theory of groups
   
Main publications:
  1. A. I. Budkin, “Dominions in Quasivarieties of Universal Algebras”, Studia Logica, 78:1/2 (2004), 107–127

https://www.mathnet.ru/eng/person19933
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/217628
https://orcid.org/0000-0002-3667-3739

Publications in Math-Net.Ru Citations
2024
1. A. I. Budkin, “Groups with restrictions on normal subgroups”, Algebra Logika, 63:1 (2024),  3–14  mathnet; Algebra and Logic, 63:1 (2024), 1–9
2. A. I. Budkin, S. A. Shakhova, “On the complexity of the lattice of quasivarieties of nilpotent groups”, Sib. Èlektron. Mat. Izv., 21:2 (2024),  1118–1131  mathnet
2023
3. A. I. Budkin, “Groups with nilpotent $n$-generated normal subgroups”, Sibirsk. Mat. Zh., 64:4 (2023),  733–741  mathnet; Siberian Math. J., 64:4 (2023), 847–853
4. A. I. Budkin, “On the independent axiomatizability of quasivarieties of nilpotent groups”, Sibirsk. Mat. Zh., 64:1 (2023),  28–39  mathnet  mathscinet; Siberian Math. J., 64:1 (2023), 22–32
2021
5. A. I. Budkin, “Independent axiomatizability of quasivarieties of torsion-free nilpotent groups”, Algebra Logika, 60:2 (2021),  123–136  mathnet; Algebra and Logic, 60:2 (2021), 79–88  isi  scopus 3
6. A. I. Budkin, “Locally free subgroups of one-relator groups”, Sib. Èlektron. Mat. Izv., 18:2 (2021),  1757–1770  mathnet  isi
2020
7. A. I. Budkin, “Quasivarieties of nilpotent groups of axiomatic rank $4$”, Sib. Èlektron. Mat. Izv., 17 (2020),  2131–2141  mathnet  isi 2
8. A. I. Budkin, “On the quasivarieties generated by a finite group and lacking any independent bases of quasi-identities”, Sibirsk. Mat. Zh., 61:6 (2020),  1234–1246  mathnet  elib; Siberian Math. J., 61:6 (2020), 983–993  isi  scopus 3
2019
9. A. I. Budkin, “$\omega$-Independent bases for quasivarieites of torsion-free groups”, Algebra Logika, 58:3 (2019),  320–333  mathnet; Algebra and Logic, 58:3 (2019), 214–223  isi  scopus 3
10. A. I. Budkin, “On the $\omega $-independence of quasivarieties of nilpotence groups”, Sib. Èlektron. Mat. Izv., 16 (2019),  516–522  mathnet 3
11. A. I. Budkin, “The operator $L_n$ on quasivarieties of universal algebras”, Sibirsk. Mat. Zh., 60:4 (2019),  724–733  mathnet  elib; Siberian Math. J., 60:4 (2019), 565–571  isi  scopus 3
2018
12. A. I. Budkin, “On dominions of the rationals in nilpotent groups”, Sibirsk. Mat. Zh., 59:4 (2018),  759–772  mathnet  elib; Siberian Math. J., 59:4 (2018), 598–609  isi  scopus
13. A. I. Budkin, “On unsolvable $Q$-theories of ring varieties”, Sib. J. Pure and Appl. Math., 18:3 (2018),  20–26  mathnet; J. Math. Sci., 253:3 (2021), 354–359
2017
14. A. I. Budkin, “On groups which are not finitely defined in every quasivariety of groups”, Sib. Èlektron. Mat. Izv., 14 (2017),  937–945  mathnet
15. A. I. Budkin, “On $2$-closedness of the rational numbers in quasivarieties of nilpotent groups”, Sibirsk. Mat. Zh., 58:6 (2017),  1252–1266  mathnet  elib; Siberian Math. J., 58:6 (2017), 971–982  isi  scopus 1
16. A. I. Budkin, “On quasivarieties of axiomatic rank $3$ of torsion-free nilpotent groups”, Sibirsk. Mat. Zh., 58:1 (2017),  56–63  mathnet  elib; Siberian Math. J., 58:1 (2017), 43–48  isi  elib  scopus 2
2015
17. A. I. Budkin, “Dominions in solvable groups”, Algebra Logika, 54:5 (2015),  575–588  mathnet  mathscinet; Algebra and Logic, 54:5 (2015), 370–379  isi  scopus 2
2014
18. A. I. Budkin, “Absolute closedness of torsion-free Abelian groups in the class of metabelian groups”, Algebra Logika, 53:1 (2014),  15–25  mathnet  mathscinet; Algebra and Logic, 53:1 (2014), 9–16  isi  scopus 3
19. A. I. Budkin, “On the closedness of a locally cyclic subgroup in a metabelian group”, Sibirsk. Mat. Zh., 55:6 (2014),  1240–1249  mathnet  mathscinet; Siberian Math. J., 55:6 (2014), 1009–1016  isi  scopus 3
2012
20. A. I. Budkin, “Dominions in Abelian subgroups of metabelian groups”, Algebra Logika, 51:5 (2012),  608–622  mathnet  mathscinet  zmath; Algebra and Logic, 51:5 (2012), 404–414  isi  scopus 5
2010
21. A. I. Budkin, “Semivarieties of nilpotent groups”, Algebra Logika, 49:5 (2010),  577–590  mathnet  mathscinet  zmath  elib; Algebra and Logic, 49:5 (2010), 389–399  isi  scopus
22. A. I. Budkin, “Dominions in quasivarieties of metabelian groups”, Sibirsk. Mat. Zh., 51:3 (2010),  498–505  mathnet  mathscinet  zmath; Siberian Math. J., 51:3 (2010), 396–401  isi  scopus 10
2008
23. A. I. Budkin, “Dominions of universal algebras and projective properties”, Algebra Logika, 47:5 (2008),  541–557  mathnet  mathscinet  zmath; Algebra and Logic, 47:5 (2008), 304–313  isi  scopus 11
2007
24. A. I. Budkin, “The quasivariety generated by a torsion-free Abelian-by-finite group”, Algebra Logika, 46:4 (2007),  407–427  mathnet  mathscinet  zmath; Algebra and Logic, 46:4 (2007), 219–230  isi  scopus 1
25. A. I. Budkin, “Lattices of dominions of universal algebras”, Algebra Logika, 46:1 (2007),  26–45  mathnet  mathscinet  zmath; Algebra and Logic, 46:1 (2007), 16–27  isi  scopus 12
2005
26. A. I. Budkin, “Quasivariety Generated by Free Metabelian and 2-Nilpotent Groups”, Algebra Logika, 44:4 (2005),  389–398  mathnet  mathscinet  zmath; Algebra and Logic, 44:4 (2005), 213–218  scopus 1
2003
27. A. I. Budkin, “The Lattice of Quasivarieties of Torsion-Free Metabelian Groups”, Algebra Logika, 42:2 (2003),  161–181  mathnet  mathscinet  zmath; Algebra and Logic, 42:2 (2003), 92–104  scopus 2
2001
28. A. I. Budkin, “Quasivarieties with Torsion-Free Nilpotent Groups”, Algebra Logika, 40:6 (2001),  629–650  mathnet  mathscinet  zmath; Algebra and Logic, 40:6 (2001), 353–364 6
2000
29. A. I. Budkin, “Levi classes generated by nilpotent groups”, Algebra Logika, 39:6 (2000),  635–647  mathnet  mathscinet  zmath; Algebra and Logic, 39:1 (2000), 363–369 12
30. A. I. Budkin, L. V. Taranina, “On Levi quasivarieties generated by nilpotent groups”, Sibirsk. Mat. Zh., 41:2 (2000),  270–277  mathnet  mathscinet  zmath; Siberian Math. J., 41:2 (2000), 218–223  isi 12
1999
31. A. I. Budkin, “Quasivarieties of groups closed with respect to wreath products and wreath $Z$-products”, Algebra Logika, 38:3 (1999),  257–268  mathnet  mathscinet 1
32. A. I. Budkin, “Levi quasivarieties”, Sibirsk. Mat. Zh., 40:2 (1999),  266–270  mathnet  mathscinet  zmath; Siberian Math. J., 40:2 (1999), 225–228  isi 13
1998
33. A. I. Budkin, “On maximal quasivarieties of groups”, Algebra Logika, 37:3 (1998),  279–290  mathnet  mathscinet 2
1994
34. A. I. Budkin, “Lattice of quasivarieties of nilpotent groups”, Algebra Logika, 33:1 (1994),  25–36  mathnet  mathscinet 12
35. A. I. Budkin, “On the independent axiomatizability of quasimanifolds of universal algebras”, Mat. Zametki, 56:4 (1994),  28–37  mathnet  mathscinet  zmath; Math. Notes, 56:4 (1994), 1008–1014  isi 2
1991
36. A. I. Budkin, “Independent axiomatizability of quasivarieties of soluble groups”, Algebra Logika, 30:2 (1991),  125–153  mathnet  mathscinet 7
1990
37. A. I. Budkin, “Idempotents in the semigroup of quasivarieties of torsion-free groups”, Mat. Zametki, 47:5 (1990),  21–25  mathnet  mathscinet  zmath; Math. Notes, 47:5 (1990), 438–441  isi
1989
38. A. I. Budkin, “$Q$-theories of $2$-generated groups with a given axiomatic rank”, Algebra Logika, 28:5 (1989),  513–523  mathnet  mathscinet 4
1988
39. A. I. Budkin, “On filters in the lattice of quasivarieties of groups”, Izv. Akad. Nauk SSSR Ser. Mat., 52:4 (1988),  875–881  mathnet  mathscinet  zmath; Math. USSR-Izv., 33:1 (1989), 201–207 2
1986
40. A. I. Budkin, “The axiomatic rank of a quasivariety of right-orderable groups”, Algebra Logika, 25:5 (1986),  499–507  mathnet  mathscinet
41. A. I. Budkin, “Independent axiomatizability of quasivarieties of generalized solvable groups”, Algebra Logika, 25:3 (1986),  249–266  mathnet  mathscinet 10
42. A. I. Budkin, “Coverings in the lattice of quasivarieties of groups”, Sibirsk. Mat. Zh., 27:3 (1986),  28–33  mathnet  mathscinet  zmath; Siberian Math. J., 27:3 (1986), 327–332  isi
1985
43. A. I. Budkin, “Quasivarieties of groups having no coverings”, Mat. Zametki, 37:5 (1985),  609–616  mathnet  mathscinet  zmath; Math. Notes, 37:5 (1985), 333–337  isi 4
1984
44. A. I. Budkin, “Quasi-identities and direct wreath products of groups”, Algebra Logika, 23:4 (1984),  367–382  mathnet  mathscinet 1
1983
45. A. I. Budkin, “Quasivarieties of groups closed with respect to restricted wreath products”, Mat. Sb. (N.S.), 121(163):4(8) (1983),  510–522  mathnet  mathscinet  zmath; Math. USSR-Sb., 49:2 (1984), 503–514 1
1982
46. A. I. Budkin, “Independent axiomatizability of quasivarieties of groups”, Mat. Zametki, 31:6 (1982),  817–826  mathnet  mathscinet  zmath; Math. Notes, 31:6 (1982), 413–417  isi 11
1980
47. A. I. Budkin, “The axiomatic rank of a quasivariety containing a free solvable group”, Mat. Sb. (N.S.), 112(154):4(8) (1980),  647–655  mathnet  mathscinet  zmath; Math. USSR-Sb., 40:4 (1981), 583–590  isi 4
1979
48. A. I. Budkin, “Quasi-identities of nilpotent groups and groups with one defining relation”, Algebra Logika, 18:2 (1979),  127–136  mathnet  mathscinet 5
1976
49. A. I. Budkin, “Quasi-identities in a free group”, Algebra Logika, 15:1 (1976),  39–52  mathnet  mathscinet 8
1975
50. A. I. Budkin, V. A. Gorbunov, “On the theory of quasivarieties of algebraic systems”, Algebra Logika, 14:2 (1975),  123–142  mathnet  mathscinet 26
1974
51. A. I. Budkin, “Semivarieties and Schreier varieties of unary algebras”, Mat. Zametki, 15:2 (1974),  263–270  mathnet  mathscinet  zmath; Math. Notes, 15:2 (1974), 150–154
1973
52. A. I. Budkin, V. A. Gorbunov, “Implicative classes of algebras”, Algebra Logika, 12:3 (1973),  249–268  mathnet  mathscinet 1

Organisations