L(R) Cyclic Semigroups Satisfying the Identity: abc = ca

1D.D. Padma Priya, G. Srinivasa, G. Shobhalatha and R. Bhuvana Vijaya

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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 = cawith the concept of L(R) cyclic properties of semigroups.

Keywords:

Semigroup, Normal, Seminormal, Regular, Semiregular, Quasinormal.

Paper Details
Month5
Year2020
Volume24
IssueIssue 5
Pages6817-6825