A. A. Stepanova, N. V. Trikashnaya, “The strongly faithful <nobr>$S$</nobr>-acts over commutative monoids and groups with modular congruence lattices”, Sib. Èlektron. Mat. Izv., 2016, Volume 13,Pages <nobr>1067

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Mathematical logic, algebra and number theory

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

A. A. Stepanova^ab, N. V. Trikashnaya^b

^a Institute of Applied Mathematics, Radio St., 7, 690041, Vladivostok , Russia
^b Far Eastern Federal University, Suhanova St., 8, 690950, Vladivostok , Russia

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.

UDC: 512.579

MSC: 30A10, 30C10, 30C15

Received August 19, 2016, published December 1, 2016

DOI: 10.17377/semi.2016.13.085