On modular and cancellable elements of the lattice of semigroup varieties
Group Theory
2017-09-12 v1
Abstract
We completely determine all semigroup varieties satysfiyng a permutational identity of length 3 that are modular elements of the lattice of all semigroup varieties. Using this result, we provide an example of a semigroup variety that is a modular but not cancellable element of this lattice.
Cite
@article{arxiv.1709.02944,
title = {On modular and cancellable elements of the lattice of semigroup varieties},
author = {Dmitry V. Skokov and Boris M. Vernikov},
journal= {arXiv preprint arXiv:1709.02944},
year = {2017}
}
Comments
12 pages