A. A. Stepanova, D. O. Ptakhov, “Axiomatizability of the class of subdirectly irreducible acts over an Abelian group”, Algebra Logika, 2020, Volume 59, Number 5,Pages <nobr>582

This article is cited 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.

UDC: 510.67:512.54

Received: 03.03.2019
Revised: 27.11.2020

DOI: 10.33048/alglog.2020.59.505