2024/07/19 by Jamadar, A.
#06F05 #20M10 #FOS: Mathematics #Group Theory (math.GR)
paper · doi:10.48550/arxiv.2407.16090
An ordered semigroup S is right π-inverse if it is π-inverse but not conversely. So the question arises under what condition the converse holds. In this paper we study nil-extensions of simple and right π-inverse ordered semigroups and prove that S is right π-inverse if and only if S is π-inverse in a t-Archimedean ordered semigroup. Moreover, we characterize complete semilattice of nil-extensions of simple and right π-inverse ordered semigroups.