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Sibirskii Matematicheskii Zhurnal, 2021, Volume 62, Number 2, Pages 441–449
DOI: https://doi.org/10.33048/smzh.2021.62.214 (Mi smj7566) 		 
This article is cited in 1 scientific paper (total in 1 paper)

$P$-stability of some classes of $S$-acts

A. A. Stepanova, A. I. Krasitskaya

Far Eastern Federal University, Vladivostok, Russia
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DOI: https://doi.org/10.33048/smzh.2021.62.214
Abstract: The notion of $P$-stability is a particular case of the generalized stability of complete theories. This paper discusses some problems that are related to the $P$-stability of certain classes of $S$-acts. In particular, we describe the monoids $S$ over which the classes of free, projective, strongly flat, divisible, regular $S$-acts are $P$-stable.
Keywords: monoid, $S$-act, projective $S$-act, strongly flat S-act, divisible $S$-act, regular $S$-act, $P$-stable theory.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2020-1482-1
Received: 25.05.2020
Revised: 15.12.2020
Accepted: 22.01.2021
English version:
Siberian Mathematical Journal, 2021, Volume 62, Issue 2, Pages 357–363
DOI: https://doi.org/10.1134/S0037446621020142
Bibliographic databases:
Document Type: Article
UDC: 510.67:512.56
MSC: 35R30
Language: Russian
Citation: A. A. Stepanova, A. I. Krasitskaya, “$P$-stability of some classes of $S$-acts”, Sibirsk. Mat. Zh., 62:2 (2021), 441–449; Siberian Math. J., 62:2 (2021), 357–363
Citation in format AMSBIB
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\paper $P$-stability of some classes of~$S$-acts
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\pages 441--449
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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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