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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2016, Volume 13, Pages 1067–1077
DOI: https://doi.org/10.17377/semi.2016.13.085 (Mi semr735) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematical logic, algebra and number theory

The strongly faithful $S$-acts over commutative monoids and groups with modular congruence lattices

A. A. Stepanovaab, N. V. Trikashnayab

a Institute of Applied Mathematics, Radio St., 7, 690041, Vladivostok , Russia
b Far Eastern Federal University, Suhanova St., 8, 690950, Vladivostok , Russia
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DOI: https://doi.org/10.17377/semi.2016.13.085
Abstract: In this article we describe the strongly faithful $S$-acts over commutative monoids and groups with distributive, modular and linear congruence lattices.
Keywords: lattice, modular lattice, distributive lattice, linear lattice, congruence lattice of algebra, $S$-act, strongly faithful $S$-act.
Received August 19, 2016, published December 1, 2016
Bibliographic databases:
Document Type: Article
UDC: 512.579
MSC: 30A10, 30C10, 30C15
Language: Russian
Citation: A. A. Stepanova, N. V. Trikashnaya, “The strongly faithful $S$-acts over commutative monoids and groups with modular congruence lattices”, Sib. Èlektron. Mat. Izv., 13 (2016), 1067–1077
Citation in format AMSBIB
\Bibitem{SteTri16}
\by A.~A.~Stepanova, N.~V.~Trikashnaya
\paper The strongly faithful $S$-acts over commutative monoids and groups with modular congruence lattices
\jour Sib. \`Elektron. Mat. Izv.
\yr 2016
\vol 13
\pages 1067--1077
\mathnet{http://mi.mathnet.ru/semr735}
\crossref{https://doi.org/10.17377/semi.2016.13.085}
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