SEMIDIRECT PRODUCT OF A MONOID AND A Γ-SEMIGROUP

M.K. Sen; S. Chattopadhyay

M.K. Sen
S. Chattopadhyay

Keywords: Γ-semigroup, regular Γ-semigroup, orthodox Γ-semigroup, right orthodox Γsemigroup, orthodox semigroup, right inverse semigroup.

Abstract

In this paper the notion of the semidirect product of a monoid and a Γ-semigroup has been introduced and studied. Necessary and suﬃcient conditions for this semidirect product to be right (left) orthodox Γ-semigroup and right (left) inverse Γ-semigroup has been obtained.