Cancellable elements of the lattice of semigroup varieties
Group Theory
2020-01-22 v5
Abstract
We completely determine all commutative semigroup varieties that are cancellable elements of the lattice SEM of all semigroup varieties. In particular, we prove that, for commutative varieties, the properties of being cancellable and modular elements of SEM are equivalent.
Cite
@article{arxiv.1703.03209,
title = {Cancellable elements of the lattice of semigroup varieties},
author = {Sergey V. Gusev and Dmitry V. Skokov and Boris M. Vernikov},
journal= {arXiv preprint arXiv:1703.03209},
year = {2020}
}
Comments
10 pages