This article is cited in 1 paper

Representations, products, and varieties of $m$-groups

A. V. Zenkov

Altai State Agricultural University, Barnaul

Abstract: Under study is the structure of the $m$-homomorphic images of $m$-subgroups in a Cartesian product of $m$-groups which admit a faithful $m$-transitive representation. We propose some construction that enables us to produce idempotents in the semigroup of varieties of $m$-groups.

Keywords: $m$-group, $m$-Cartesian product, representation, variety.

UDC: 512.545

MSC: 35R30

Received: 19.10.2021
Revised: 23.01.2022
Accepted: 15.04.2022

DOI: 10.33048/smzh.2022.63.411

 English version: Siberian Mathematical Journal, 2022, 63:4, 715–719

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