2017/06/26 by Jamadar, A., Hansda, K.
#16Y60 #20M10 #FOS: Mathematics #Group Theory (math.GR)
paper · doi:10.48550/arxiv.1706.08214
A regular ordered semigroup S is called right inverse if every principal left ideal of S is generated by an R-unique ordered idempotent. Here we explore the theory of right inverse ordered semigroups. We show that a regular ordered semigroup is right inverse if and only if any two right inverses of an element a∈ S are R-related. Furthermore, different characterizations of right Clifford, right group-like, group like ordered semigroups are done by right inverse ordered semigroups. Thus a foundation of right inverse semigroups has been developed.