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Algebra i logika, 2020, Volume 59, Number 5, Pages 582–593
DOI: https://doi.org/10.33048/alglog.2020.59.505 (Mi al2635) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Axiomatizability of the class of subdirectly irreducible acts over an Abelian group

A. A. Stepanova, D. O. Ptakhov

School of Natural Sciences, Far Eastern Federal University, Vladivostok
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DOI: https://doi.org/10.33048/alglog.2020.59.505
Abstract: Abelian groups are described over which the class of all subdirectly irreducible acts is axiomatizable. Also some properties of subdirectly irreducible acts over Abelian groups are studied. It is proved that all connected acts over an Abelian group are subdirectly irreducible iff the group is totally ordered.
Keywords: axiomatizable class of algebras, act over group, subdirectly irreducible act over group.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2020-1482-1
Russian Foundation for Basic Research 17-01-00531_a
A. A. Stepanova is Supported by RF Ministry of Education and Science (Suppl. Agreement No. 075-02-2020-1482-1 of 21.04.2020). D. O. Ptakhov is Supported by RFBR, project No. 17-01-00531.
Received: 03.03.2019
Revised: 27.11.2020
English version:
Algebra and Logic, 2020, Volume 59, Issue 5, Pages 395–403
DOI: https://doi.org/10.1007/s10469-020-09612-w
Bibliographic databases:
Document Type: Article
UDC: 510.67:512.54
Language: Russian
Citation: A. A. Stepanova, D. O. Ptakhov, “Axiomatizability of the class of subdirectly irreducible acts over an Abelian group”, Algebra Logika, 59:5 (2020), 582–593; Algebra and Logic, 59:5 (2020), 395–403
Citation in format AMSBIB
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\paper Axiomatizability of the class of subdirectly irreducible acts over an Abelian group
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\issue 5
\pages 582--593
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\transl
\jour Algebra and Logic
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\pages 395--403
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    • This publication is cited in the following 1 articles:
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    		Алгебра и логика Algebra and Logic
     
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