English

On right $\pi$-inverse ordered semigroups

Group Theory 2024-07-23 v1

Abstract

Here we introduce the notion of (left, right) π\pi-tt-simple, right π\pi-inverse ordered semigroups and discuss characterizations and relationships concerning them. Semilattice decomposition of left π\pi-tt-simple ordered semigroups has been given here. Furthermore, we study an interrelation between the generalized Green's relations and the class of semigroups which are semilattices of right π\pi-tt-simple ordered semigroups.

Keywords

Cite

@article{arxiv.2407.14569,
  title  = {On right $\pi$-inverse ordered semigroups},
  author = {A. Jamadar},
  journal= {arXiv preprint arXiv:2407.14569},
  year   = {2024}
}

Comments

arXiv admin note: text overlap with arXiv:1701.07185, arXiv:1701.07189 by other authors

R2 v1 2026-06-28T17:47:46.863Z