B. M. Vernikov, D. V. Skokov, “Semimodular and Arguesian varieties of epigroups. I”, Trudy Inst. Mat. i Mekh. UrO RAN, 2016, Volume 22, Number 3,Pages <nobr>31

Semimodular and Arguesian varieties of epigroups. I

B. M. Vernikov, D. V. Skokov

Institute of Mathematics and Computer Science, Ural Federal University, Ekaterinburg

Abstract: We describe varieties of epigroups such that they contain at least one 3-step nilpotent epigroup and their lattice of subvarieties is modular, distributive, Arguesian, or semimodular.

Keywords: epigroup, variety, lattice of subvarieties, distributivity, Arguesian variety, modularity, semimodularity.

UDC: 512.532.2

MSC: 20M07, 08B15

Received: 02.08.2015

DOI: 10.21538/0134-4889-2016-22-3-31-43