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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
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.
Received: 25.05.2020 Revised: 15.12.2020 Accepted: 22.01.2021
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
Linking options:
https://www.mathnet.ru/eng/smj7566 https://www.mathnet.ru/eng/smj/v62/i2/p441
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Abstract page: | 151 | Full-text PDF : | 20 | References: | 18 | First page: | 5 |
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