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Sibirskii Matematicheskii Zhurnal, 2022, Volume 63, Number 4, Pages 860–865
DOI: https://doi.org/10.33048/smzh.2022.63.411 (Mi smj7698) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Representations, products, and varieties of $m$-groups

A. V. Zenkov

Altai State Agricultural University, Barnaul
Full-text PDF (301 kB) Citations (2)
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DOI: https://doi.org/10.33048/smzh.2022.63.411
Abstract: Under study is the structure of the $m$-homomorphic images of $m$-subgroups in a Cartesian product of $m$-groups which admit a faithful $m$-transitive representation. We propose some construction that enables us to produce idempotents in the semigroup of varieties of $m$-groups.
Keywords: $m$-group, $m$-Cartesian product, representation, variety.
Received: 19.10.2021
Revised: 23.01.2022
Accepted: 15.04.2022
English version:
Siberian Mathematical Journal, 2022, Volume 63, Issue 4, Pages 715–719
DOI: https://doi.org/10.1134/S0037446622040115
Bibliographic databases:
Document Type: Article
UDC: 512.545
MSC: 35R30
Language: Russian
Citation: A. V. Zenkov, “Representations, products, and varieties of $m$-groups”, Sibirsk. Mat. Zh., 63:4 (2022), 860–865; Siberian Math. J., 63:4 (2022), 715–719
Citation in format AMSBIB
\Bibitem{Zen22}
\by A.~V.~Zenkov
\paper Representations, products, and varieties of~$m$-groups
\jour Sibirsk. Mat. Zh.
\yr 2022
\vol 63
\issue 4
\pages 860--865
\mathnet{http://mi.mathnet.ru/smj7698}
\crossref{https://doi.org/10.33048/smzh.2022.63.411}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1047863}
\transl
\jour Siberian Math. J.
\yr 2022
\vol 63
\issue 4
\pages 715--719
\crossref{https://doi.org/10.1134/S0037446622040115}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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