N. V. Bayanova, A. V. Zenkov, “On representable covers in the lattice of varieties of <nobr>$m$</nobr>-groups”, Sib. Èlektron. Mat. Izv., 2018, Volume 15,Pages <nobr>1818

Mathematical logic, algebra and number theory

On representable covers in the lattice of varieties of $m$-groups

N. V. Bayanova^a, A. V. Zenkov^b

^a Altai State University, pr. Lenina, 61, 656099, Barnaul, Russia
^b Altai State Agricultural University, pr. Krasnoarmeysky, 98, 656049, Barnaul, Russia

Abstract: In this article we present a full description of all solvable and representable covers of the variety $\mathcal{A}$ of all abelian $m$-groups in the lattice of $m$-varieties.

Keywords: $m$-group, variety, cover.

UDC: 512.545

MSC: 06F15,20F60

Received May 25, 2018, published December 30, 2018

DOI: 10.33048/semi.2018.15.146