Minimal bi-ideals in regular and completely regular ordered semigroups
Rings and Algebras
2017-01-26 v1
Abstract
Here we characterize regular and completely regular ordered semigroups by their minimal bi-ideals. A minimal bi-ideal is expressed as a product of a minimal right ideal and a minimal left ideal. Furthermore, we show that every bi-ideal in a completely regular ordered semigroup is minimal and hence a regular ordered semigroup S is completely regular if and only if S is union its of minimal bi-ideals.
Cite
@article{arxiv.1701.07192,
title = {Minimal bi-ideals in regular and completely regular ordered semigroups},
author = {Kalyan Hansda},
journal= {arXiv preprint arXiv:1701.07192},
year = {2017}
}
Comments
12 pages