MATHEMATICS

Varieties of aperiodic monoids with a distributive lattice of subvarieties

S. V. Gusev

Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg

Abstract: A monoid is called aperiodic if all its subgroups are trivial. The paper describes varieties of aperiodic monoids whose lattice of subvarieties is distributive.

Keywords: monoid, aperiodic monoid, variety, subvariety lattice, distributive lattice.

UDC: 512.532+512.572

Presented: L. D. Beklemishev
Received: 07.04.2025
Revised: 12.09.2025
Accepted: 15.09.2025

DOI: 10.7868/S3034504925050147

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