Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.16090 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Table of Contents:
- 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.