On inverse ordered semigroups
Group Theory
2019-05-13 v1
Abstract
The purpose of this paper is to study the generalization of inverse semigroups (without order). An ordered semigroup S is called an inverse ordered semigroup if for every a 2 S, any two inverses of a are H-related. We prove that an ordered semigroup is complete semilattice of t-simple ordered semigroups if and only if it is completely regular and inverse. Furthermore characterizations of inverse ordered semigroups have been characterized by their ordered idempotents.
Cite
@article{arxiv.1905.04030,
title = {On inverse ordered semigroups},
author = {A. Jamadar and K. Hansda},
journal= {arXiv preprint arXiv:1905.04030},
year = {2019}
}