Chain varieties of monoids
Group Theory
2020-01-22 v4
Abstract
A variety of universal algebras is called a chain variety if its subvariety lattice is a chain. Non-group chain varieties of semigroups were completely classified by Sukhanov in 1982. Here we completely determine non-group chain varieties of monoids as algebras of tyoe (2,0).
Keywords
Cite
@article{arxiv.1707.05530,
title = {Chain varieties of monoids},
author = {Sergey V. Gusev and Boris M. Vernikov},
journal= {arXiv preprint arXiv:1707.05530},
year = {2020}
}
Comments
76 pages, 3 figures, 3 tables. In comparison with the previous version, we made a number of linguistic corrections only