L(R) Cyclic Semigroups Satisfying The Identity : abc = ac

Abstract

Semigroups being one of the algebraic structures are sets with associative binary operation defined on them. The theory of semigroups satisfy additional properties like commutative, Left(Right) cyclic i.e., L(R) cyclic , Left(Right) identity, Left(Right) cancellative and many others. In this paper we determine different structures of semigroups like normal, seminormal, quasinormal, semiregular and others by using the identity abc = ac with the concept of L(R) cyclic properties of semigroups.