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Sibirskii Matematicheskii Zhurnal, 2022, Volume 63, Number 1, Pages 202–208
DOI: https://doi.org/10.33048/smzh.2022.63.114 (Mi smj7651) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Congruence-permutable $s$-acts

A. A. Stepanova, S. G. Chekanov

School of Natural Sciences, Far Eastern Federal University, Vladivostok
Full-text PDF (273 kB) Citations (1)
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DOI: https://doi.org/10.33048/smzh.2022.63.114
Abstract: An algebra is congruence-permutable if its congruences commute under composition. Many familiar varieties of algebras, such as the variety of groups, consist of congruence-permutable algebras, but the variety of $S$-acts have not congruence-permutable members. We describe congruence-permutable $S$-acts in the cases that $ S $ is a commutative monoid or a group.
Keywords: monoid, $S$-act, congruence-permutable $S$-act.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075–02–2021–1395
The work was supported by the Ministry of Science and Education of the Russian Federation (Agreement 075–02–2021–1395 of 01.06.2021).
Received: 24.05.2021
Revised: 12.08.2021
Accepted: 11.10.2021
English version:
Siberian Mathematical Journal, 2022, Volume 63, Issue 1, Pages 167–172
DOI: https://doi.org/10.1134/S0037446622010141
Bibliographic databases:
Document Type: Article
UDC: 512.53
Language: Russian
Citation: A. A. Stepanova, S. G. Chekanov, “Congruence-permutable $s$-acts”, Sibirsk. Mat. Zh., 63:1 (2022), 202–208; Siberian Math. J., 63:1 (2022), 167–172
Citation in format AMSBIB
\Bibitem{SteChe22}
\by A.~A.~Stepanova, S.~G.~Chekanov
\paper Congruence-permutable $s$-acts
\jour Sibirsk. Mat. Zh.
\yr 2022
\vol 63
\issue 1
\pages 202--208
\mathnet{http://mi.mathnet.ru/smj7651}
\crossref{https://doi.org/10.33048/smzh.2022.63.114}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4440275}
\transl
\jour Siberian Math. J.
\yr 2022
\vol 63
\issue 1
\pages 167--172
\crossref{https://doi.org/10.1134/S0037446622010141}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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