Supernilpotent Semigroups
Group Theory
2023-08-10 v2 Rings and Algebras
Abstract
Regular abelian semigroups are isomorphic to a direct product of an abelian group and a rectangular band (Warne, 1994). Seeking for a similar result for nilpotency, solvability and supernilpotency of regular semigroups, we obtain that analogous statement is true only in orthodox semigroups. We provide an example that shows that the same does not have to be true in regular semigroups that are not orthodox.
Cite
@article{arxiv.2210.02791,
title = {Supernilpotent Semigroups},
author = {Jelena Radović and Nebojša Mudrinski},
journal= {arXiv preprint arXiv:2210.02791},
year = {2023}
}