Budkin, A. I. Groups with nilpotent \(n \)-generated normal subgroups. (English. Russian original) Zbl 1521.20055 Sib. Math. J. 64, No. 4, 847-853 (2023); translation from Sib. Mat. Zh. 64, No. 4, 733-741 (2023). Reviewer: Enrico Jabara (Venezia) MSC: 20E10 20F18 08C15 PDFBibTeX XMLCite \textit{A. I. Budkin}, Sib. Math. J. 64, No. 4, 847--853 (2023; Zbl 1521.20055); translation from Sib. Mat. Zh. 64, No. 4, 733--741 (2023) Full Text: DOI
Budkin, A. I. On the independent axiomatizability of quasivarieties of nilpotent groups. (English. Russian original) Zbl 07658735 Sib. Math. J. 64, No. 1, 22-32 (2023); translation from Sib. Mat. Zh. 64, No. 1, 28-39 (2023). Reviewer: Enrico Jabara (Venezia) MSC: 20E10 20F18 08C15 PDFBibTeX XMLCite \textit{A. I. Budkin}, Sib. Math. J. 64, No. 1, 22--32 (2023; Zbl 07658735); translation from Sib. Mat. Zh. 64, No. 1, 28--39 (2023) Full Text: DOI
Budkin, A. I. Independent axiomatizability of quasivarieties of torsion-free nilpotent groups. (English. Russian original) Zbl 1515.08008 Algebra Logic 60, No. 2, 79-88 (2021); translation from Algebra Logika 60, No. 2, 123-136 (2021). MSC: 08C15 20E10 20F18 PDFBibTeX XMLCite \textit{A. I. Budkin}, Algebra Logic 60, No. 2, 79--88 (2021; Zbl 1515.08008); translation from Algebra Logika 60, No. 2, 123--136 (2021) Full Text: DOI
Budkin, A. I. Quasivarieties of nilpotent groups of axiomatic rank 4. (English) Zbl 1454.20058 Sib. Èlektron. Mat. Izv. 17, 2131-2141 (2020). MSC: 20E10 20F18 PDFBibTeX XMLCite \textit{A. I. Budkin}, Sib. Èlektron. Mat. Izv. 17, 2131--2141 (2020; Zbl 1454.20058) Full Text: DOI
Budkin, A. I. On the quasivarieties generated by a finite group and lacking any independent bases of quasi-identities. (English. Russian original) Zbl 1498.20067 Sib. Math. J. 61, No. 6, 983-993 (2020); translation from Sib. Mat. Zh. 61, No. 6, 1234-1246 (2020). MSC: 20E10 08C15 20F12 PDFBibTeX XMLCite \textit{A. I. Budkin}, Sib. Math. J. 61, No. 6, 983--993 (2020; Zbl 1498.20067); translation from Sib. Mat. Zh. 61, No. 6, 1234--1246 (2020) Full Text: DOI
Budkin, A. I. \( \omega \)-independent bases for quasivarietes of torsion-free groups. (\( \omega \)-independent bases for quasivarieites of torsion-free groups.) (English. Russian original) Zbl 1444.20019 Algebra Logic 58, No. 3, 214-223 (2019); translation from Algebra Logika 58, No. 3, 320-333 (2019). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 20E10 08C15 PDFBibTeX XMLCite \textit{A. I. Budkin}, Algebra Logic 58, No. 3, 214--223 (2019; Zbl 1444.20019); translation from Algebra Logika 58, No. 3, 320--333 (2019) Full Text: DOI
Budkin, A. I. The operator \(L_n\) on quasivarieties of universal algebras. (English. Russian original) Zbl 1475.08002 Sib. Math. J. 60, No. 4, 565-571 (2019); translation from Sib. Mat. Zh. 60, No. 4, 724-733 (2019). Reviewer: Yuri Movsisyan (Yerevan) MSC: 08C15 08B10 03C20 03C60 20E10 PDFBibTeX XMLCite \textit{A. I. Budkin}, Sib. Math. J. 60, No. 4, 565--571 (2019; Zbl 1475.08002); translation from Sib. Mat. Zh. 60, No. 4, 724--733 (2019) Full Text: DOI
Budkin, Aleksandr Ivanovich On the \(\omega\)-independence of quasivarieties of nilpotence groups. (Russian. English summary) Zbl 1436.20045 Sib. Èlektron. Mat. Izv. 16, 516-522 (2019). MSC: 20E10 20F18 PDFBibTeX XMLCite \textit{A. I. Budkin}, Sib. Èlektron. Mat. Izv. 16, 516--522 (2019; Zbl 1436.20045) Full Text: DOI
Budkin, A. I. On dominions of the rationals in nilpotent groups. (English. Russian original) Zbl 1418.20010 Sib. Math. J. 59, No. 4, 598-609 (2018); translation from Sib. Mat. Zh. 59, No. 4, 759-772 (2018). Reviewer: Jonas Deré (Leuven) MSC: 20E10 20F18 08C15 PDFBibTeX XMLCite \textit{A. I. Budkin}, Sib. Math. J. 59, No. 4, 598--609 (2018; Zbl 1418.20010); translation from Sib. Mat. Zh. 59, No. 4, 759--772 (2018) Full Text: DOI
Budkin, A. I. On 2-closedness of the rational numbers in quasivarieties of nilpotent groups. (English. Russian original) Zbl 1400.20018 Sib. Math. J. 58, No. 6, 971-982 (2017); translation from Sib. Mat. Zh. 58, No. 6, 1252-1266 (2017). MSC: 20E10 08C15 20F18 PDFBibTeX XMLCite \textit{A. I. Budkin}, Sib. Math. J. 58, No. 6, 971--982 (2017; Zbl 1400.20018); translation from Sib. Mat. Zh. 58, No. 6, 1252--1266 (2017) Full Text: DOI
Budkin, A. I. On quasivarieties of axiomatic rank 3 of torsion-free nilpotent groups. (English. Russian original) Zbl 1365.20022 Sib. Math. J. 58, No. 1, 43-48 (2017); translation from Sib. Mat. Zh. 58, No. 1, 56-63 (2017). MSC: 20E10 20F18 08C15 08B15 PDFBibTeX XMLCite \textit{A. I. Budkin}, Sib. Math. J. 58, No. 1, 43--48 (2017; Zbl 1365.20022); translation from Sib. Mat. Zh. 58, No. 1, 56--63 (2017) Full Text: DOI
Budkin, A. I. Dominions in solvable groups. (English. Russian original) Zbl 1344.20038 Algebra Logic 54, No. 5, 370-379 (2015); translation from Algebra Logika 54, No. 5, 575-588 (2015). MSC: 20E10 08C15 20F16 20E07 20F05 PDFBibTeX XMLCite \textit{A. I. Budkin}, Algebra Logic 54, No. 5, 370--379 (2015; Zbl 1344.20038); translation from Algebra Logika 54, No. 5, 575--588 (2015) Full Text: DOI
Budkin, A. I. On the closedness of a locally cyclic subgroup in a metabelian group. (English. Russian original) Zbl 1328.20054 Sib. Math. J. 55, No. 6, 1009-1016 (2014); translation from Sib. Mat. Zh. 55, No. 6, 1240-1249 (2014). Reviewer: Martyn Dixon (Tuscaloosa) MSC: 20F16 20E10 20E07 20E15 PDFBibTeX XMLCite \textit{A. I. Budkin}, Sib. Math. J. 55, No. 6, 1009--1016 (2014; Zbl 1328.20054); translation from Sib. Mat. Zh. 55, No. 6, 1240--1249 (2014) Full Text: DOI
Budkin, A. I. Absolute closedness of torsion-free abelian groups in the class of metabelian groups. (English. Russian original) Zbl 1315.20024 Algebra Logic 53, No. 1, 9-16 (2014); translation from Algebra Logika 53, No. 1, 15-25 (2014). MSC: 20E10 08C15 20F16 PDFBibTeX XMLCite \textit{A. I. Budkin}, Algebra Logic 53, No. 1, 9--16 (2014; Zbl 1315.20024); translation from Algebra Logika 53, No. 1, 15--25 (2014) Full Text: DOI
Budkin, A. I. Dominions in Abelian subgroups of metabelian groups. (English. Russian original) Zbl 1271.20033 Algebra Logic 51, No. 5, 404-414 (2012); translation from Algebra Logika 51, No. 5, 608-622 (2012). Reviewer: Martyn Dixon (Tuscaloosa) MSC: 20E10 08C15 20F16 PDFBibTeX XMLCite \textit{A. I. Budkin}, Algebra Logic 51, No. 5, 404--414 (2012; Zbl 1271.20033); translation from Algebra Logika 51, No. 5, 608--622 (2012) Full Text: DOI
Budkin, A. I.; Taranina, L. V. On Levi quasivarieties generated by nilpotent groups. (English. Russian original) Zbl 0956.20015 Sib. Math. J. 41, No. 2, 218-223 (2000); translation from Sib. Mat. Zh. 41, No. 2, 270-277 (2000). Reviewer: K.N.Ponomarev (Novosibirsk) MSC: 20E10 20F18 20F45 08C15 PDFBibTeX XMLCite \textit{A. I. Budkin} and \textit{L. V. Taranina}, Sib. Math. J. 41, No. 2, 270--277 (2000; Zbl 0956.20015); translation from Sib. Mat. Zh. 41, No. 2, 270--277 (2000) Full Text: DOI EuDML
Budkin, A. I. Idempotents in the semigroup of quasivarieties of torsion-free groups. (English. Russian original) Zbl 0716.20012 Math. Notes 47, No. 5, 438-441 (1990); translation from Mat. Zametki 47, No. 5, 21-25 (1990). Reviewer: L.Martynov MSC: 20E10 PDFBibTeX XMLCite \textit{A. I. Budkin}, Math. Notes 47, No. 5, 438--441 (1990; Zbl 0716.20012); translation from Mat. Zametki 47, No. 5, 21--25 (1990) Full Text: DOI
Budkin, A. I. The axiomatic rank of the quasivariety of right-ordered groups. (English) Zbl 0628.20027 Algebra Logic 25, 313-318 (1986). MSC: 20E10 06F15 08C15 PDFBibTeX XMLCite \textit{A. I. Budkin}, Algebra Logic 25, 313--318 (1986; Zbl 0628.20027) Full Text: DOI
Budkin, A. I. Independent axiomatizability of quasivarieties of generalized solvable groups. (English. Russian original) Zbl 0621.20011 Algebra Logic 25, 155-166 (1986); translation from Algebra Logika 25, No. 3, 249-266 (1986). Reviewer: G.A.Noskov MSC: 20E10 20F16 08C15 20F19 20F60 06F15 PDFBibTeX XMLCite \textit{A. I. Budkin}, Algebra Logic 25, 155--166 (1986; Zbl 0621.20011); translation from Algebra Logika 25, No. 3, 249--266 (1986) Full Text: DOI EuDML
Budkin, A. I. Coverings in the lattice of quasivarieties of groups. (English) Zbl 0609.20019 Sib. Math. J. 27, 327-332 (1986). MSC: 20E10 08C15 08B15 PDFBibTeX XMLCite \textit{A. I. Budkin}, Sib. Math. J. 27, 327--332 (1986; Zbl 0609.20019) Full Text: DOI