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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
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.
Received: 03.03.2019 Revised: 27.11.2020
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
Linking options:
https://www.mathnet.ru/eng/al2635 https://www.mathnet.ru/eng/al/v59/i5/p582
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Abstract page: | 159 | Full-text PDF : | 26 | References: | 12 | First page: | 2 |
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