Commutators in Completely Simple Semigroups
Rings and Algebras
2023-08-22 v3
Abstract
We obtain a characterization of the binary commutator on completely simple semigroups, using their Rees matrix representation. Consequently, we prove that a regular semigroup is nilpotent (solvable) if and only if it is simple, and all its -classes are nilpotent (solvable) groups.
Cite
@article{arxiv.2208.05237,
title = {Commutators in Completely Simple Semigroups},
author = {Jelena Radović and Nebojša Mudrinski},
journal= {arXiv preprint arXiv:2208.05237},
year = {2023}
}