This article is cited in 1 paper

Congruence-permutable $s$-acts

A. A. Stepanova, S. G. Chekanov

School of Natural Sciences, Far Eastern Federal University, Vladivostok

Abstract: An algebra is congruence-permutable if its congruences commute under composition. Many familiar varieties of algebras, such as the variety of groups, consist of congruence-permutable algebras, but the variety of $S$-acts have not congruence-permutable members. We describe congruence-permutable $S$-acts in the cases that $ S $ is a commutative monoid or a group.

Keywords: monoid, $S$-act, congruence-permutable $S$-act.

UDC: 512.53

Received: 24.05.2021
Revised: 12.08.2021
Accepted: 11.10.2021

DOI: 10.33048/smzh.2022.63.114

 English version: Siberian Mathematical Journal, 2022, 63:1, 167–172

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