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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive

Sib. Èlektron. Mat. Izv., 2019 Volume 16, Pages 1147–1157 (Mi semr1119)

This article is cited in 1 paper

Geometry and topology

Congruence lattices of S-acts over a well-ordered monoid

A. A. Stepanova, M. S. Kazak

Far-Eastern Federal University, b.Ayaks-10, Vladivostok, 690920, Russia

Abstract: In this article, we describe the S-acts over a well-ordered monoid such that the corresponding congruence lattice is distributive or totally ordered.

Keywords: lattice, totally ordered lattice, distributive lattice, congruence lattice of algebra, S-act.

UDC: 512.53, 512.58

MSC: 18D35

Received March 23, 2018, published August 25, 2019

DOI: 10.33048/semi.2019.16.078



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