Enumeration of Bi-commutative AG-groupoids

Abstract

A groupoid satisfying the left invertive law: ab· c=cb· a is called an AG-groupoid and is a generalization of commutative semigroups. We consider the concept of bi-commutativity in AG-groupoids and thus introduce left commutative AG-groupoids, right commutative AG-groupoids and bi-commutative AG-groupoids.

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