# E-Inversive Γ-Semigroups

TL;DR: In this article, the authors investigate different properties of E-inversive -semigroup and right E-semigroup, and show that a right E--semigroup is a -idempotent.

Abstract: Let S = {a, b, c, ...} and = {, , , ...} be two nonempty sets. S is called a -semigroup if , for all and a, b S and , for all a, b, c S and for all , . An element is said to be an -idempotent for some if = e. A -semigroup S is called an E-inversive -semigroup if for each there exist and such that ax is a -idempotent for some . A -semigroup is called a right E--semigroup if for each -idempotent e and -idempotent f, is a -idempotent. In this paper we investigate different properties of E-inversive -semigroup and right E--semigroup.

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