Band Congruences on E-Inversive E-Semigroups
Manoj Siripitukdet · 2010
In this paper, we investigate band congruences and rectangular band congruences on E-inversive E-semigroups. A semigroup S is a band if every element of S is an idempotent and a band S is rectangular band if a = aba for all a,b ∈ S. A semigroup S is an E-inversive E-semigroup if for every a ∈ S, there exists x ∈ S such that ax is an idempotent and the set of all idempotents of S forms a subsemigroup.