Generalizing a property of regular resp. finite semigroups a semigroup S is called E-(0-)
inversive if for every a∈ S4 (a≠ 0) there exists x∈ S such that ax (≠ 0) is an idempotent …

A semigroup S is called E-inversive if for every a∈ S there exists x∈ S such that ax is
idempotent. S is called E-semigroup if the set of idempotents of S forms a subsemigroup. In …

A monoid M is an extension of a submonoid T by a group G if there is a morphism from M
onto G such that T is the inverse image of the identity of G. Our first main theorem gives …

A semigroup S is called E-inversive if for every a∈ S there is an x∈ S such that ax is
idempotent. The purpose of this paper is the investigation of E-inversive semigroups and …

We investigate E*-dense semi\-groups as analogues of E-dense semigroups for semigroups
with zero. We give a characterisation theorem for E*-dense semigroups whose idempotents …

In 1952, G. Thierrin [33] defined a semigroup S to be E-inversive if for every a ES there exists
x ES such that ax€ Es (the set of all idempotents of S). Sometimes these semigroups are …

E-Inversive Elements in Some Semigroups of Transformations that Preserve Equivalence Page
1 Thai Journal of Mathematics : 127–132 Special Issue: Annual Meeting in Mathematics 2017 …

This paper is inspired by Mitsch, Petrich, Reilly's work on E–inversive semigroups and
inverse semigroups. We first introduce the notions of a good subdirect product and a good …

Let T be a subsemigroup of a semigroup S. AT-cover of S is a semigroup with a
subsemigroup such that is an extension of by a group, and there is a surjective …

In this paper we give some characterizations for idempotent-separating congruences on E-
inversive semigroups whose idempotents form a rectangular band. We also give some …