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Sibirskii Matematicheskii Zhurnal, 2023, Volume 64, Number 1, Pages 28–39
DOI: https://doi.org/10.33048/smzh.2023.64.103 (Mi smj7742) 		 
On the independent axiomatizability of quasivarieties of nilpotent groups

A. I. Budkin

Altai State University, Barnaul
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DOI: https://doi.org/10.33048/smzh.2023.64.103
Abstract: We construct the new quasivarieties of groups of exponent $p$ (with $p$ an odd prime) which are generated by a finite group and have no independent basis of quasi-identities.
Keywords: quasivariety, quasi-identity, independent basis, nilpotent group.
Received: 15.04.2022
Revised: 15.04.2022
Accepted: 15.06.2022
English version:
Siberian Mathematical Journal, 2023, Volume 64, Issue 1, Pages 22–32
DOI: https://doi.org/10.1134/S0037446623010032
Bibliographic databases:
Document Type: Article
UDC: 512.54
Language: Russian
Citation: A. I. Budkin, “On the independent axiomatizability of quasivarieties of nilpotent groups”, Sibirsk. Mat. Zh., 64:1 (2023), 28–39; Siberian Math. J., 64:1 (2023), 22–32
Citation in format AMSBIB
\Bibitem{Bud23}
\by A.~I.~Budkin
\paper On the independent axiomatizability of quasivarieties of nilpotent groups
\jour Sibirsk. Mat. Zh.
\yr 2023
\vol 64
\issue 1
\pages 28--39
\mathnet{http://mi.mathnet.ru/smj7742}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=853881}
\transl
\jour Siberian Math. J.
\yr 2023
\vol 64
\issue 1
\pages 22--32
\crossref{https://doi.org/10.1134/S0037446623010032}
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