Congruences on *-bisimple type A I-semigroups

R.U. Ndubuisi, U.I. Asibong-Ibe

Abstract

This paper studies congruences on a *-bisimple type A I-semigroup in the light of known results in the areas of inverse semigroups and type A ω-semigroups. It turns out that for a *-bisimple type A I-semigroup, we have the idempotent-separating congruence and the minimum cancellative monoid congruence.

How to Cite this Article

R.U. Ndubuisi, U.I. Asibong-Ibe, Congruences on *-bisimple type A I-semigroups, J. Semigroup Theory Appl., 2018 (2018), Article ID 4. https://doi.org/10.28919/jsta/3547

Copyright © 2018 R.U. Ndubuisi, U.I. Asibong-Ibe. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.