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Enumeration of Bi-commutative AG-groupoids

2014/03/21 by Rashad, Muhammad, Ahmad, Imtiaz, Shah, Muhammad +1
#20N02 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1403.5393

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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