Varieties of monoids with a distributive subvariety lattice
Group Theory
2025-10-08 v3
Abstract
A monoid is aperiodic if all its subgroups are trivial. We completely classify all varieties of aperiodic monoids whose subvariety lattice is distributive.
Cite
@article{arxiv.2403.07913,
title = {Varieties of monoids with a distributive subvariety lattice},
author = {Sergey V. Gusev},
journal= {arXiv preprint arXiv:2403.07913},
year = {2025}
}
Comments
15 pages. Version 3 corrects several inaccuracies. arXiv admin note: text overlap with arXiv:2308.11544, arXiv:2204.11055