Strongly nonfinitely based monoids
Group Theory
2025-03-11 v2
Abstract
We show that the 42-element monoid of all partial order preserving and extensive injections on the 4-element chain is not contained in any variety generated by a finitely based finite semigroup.
Cite
@article{arxiv.2301.12426,
title = {Strongly nonfinitely based monoids},
author = {Sergey V. Gusev and Olga B. Sapir and Mikhail V. Volkov},
journal= {arXiv preprint arXiv:2301.12426},
year = {2025}
}
Comments
12 pages. In version 2: the proofs of two key lemmas are expanded; two remarks are added; references are updated; a few typos and language errors are fixed