Characterization of Cross varieties of $J$-trivial monoids
Group Theory
2026-05-05 v1
Abstract
A finitely based, finitely generated variety with finitely many subvarieties is a Cross variety. In the present article, it is shown that a variety of -trivial monoids is Cross if and only if it excludes as subvarieties a certain list of 14 almost Cross varieties. Consequently, the list of 14 varieties exhausts all almost Cross varieties of -trivial monoids.
Cite
@article{arxiv.2601.20222,
title = {Characterization of Cross varieties of $J$-trivial monoids},
author = {Sergey V. Gusev and Edmond W. H. Lee and Wen Ting Zhang},
journal= {arXiv preprint arXiv:2601.20222},
year = {2026}
}
Comments
22 pages, 6 figures