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Sibirskii Matematicheskii Zhurnal, 2017, Volume 58, Number 4, Pages 785–795
DOI: https://doi.org/10.17377/smzh.2017.58.407
(Mi smj2898)
 

This article is cited in 2 scientific papers (total in 2 papers)

Axiomatizability of the class of weakly injective $S$-acts

E. L. Efremova, A. A. Stepanovaab

a Far Eastern Federal University, School of Natural Sciences, Vladivostok, Russia
b Institute of Applied Mathematics, Vladivostok, Russia
Full-text PDF (307 kB) Citations (2)
References:
Abstract: The concepts of weakly injective, fg-weakly injective, and p-weakly injective $S$-acts generalize that of injective $S$-act. We study the monoids $S$ over which the classes of weakly injective, fg-weakly injective, and p-weakly injective $S$-acts are axiomatizable. We prove that the class of p-weakly injective $S$-acts over a regular monoid is axiomatizable.
Keywords: monoid, $S$-act, weakly injective $S$-act, fg-weakly injective $S$-act, p-weakly injective $S$-act, axiomatizability.
Received: 16.06.2016
Revised: 08.11.2016
English version:
Siberian Mathematical Journal, 2017, Volume 58, Issue 4, Pages 611–618
DOI: https://doi.org/10.1134/S0037446617040073
Bibliographic databases:
Document Type: Article
UDC: 510.67+512.56
MSC: 35R30
Language: Russian
Citation: E. L. Efremov, A. A. Stepanova, “Axiomatizability of the class of weakly injective $S$-acts”, Sibirsk. Mat. Zh., 58:4 (2017), 785–795; Siberian Math. J., 58:4 (2017), 611–618
Citation in format AMSBIB
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\pages 785--795
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский математический журнал Siberian Mathematical Journal
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