Semilattice Congruences on E-inversive Semigroups

Abstract

A congruence ? on a semigroup S is a semilattice congruence on S if S/? is asemilattice. A semigroup S is called an E-inversive semigroup if for every a???S there is anelement x in S such that ax is idempotent. In this paper, we investigated a semilatticecongruence and an inverse congruence on E-inversive semigroups.