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arXiv · 1510.01316

On cyclic associative Abel-Grassman groupoids

Muhammad Iqbal·Imtiaz Ahmad·Muhammad Shah·Muhammad Irfan Ali
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Abstract

A new subclass of AG-groupoids, so called, cyclic associative Abel-Grassman groupoids or CA-AG-groupoid is studied. These have been enumerated up to order $6$. A test for the verification of cyclic associativity for an arbitrary AG-groupoid has been introduced. Various properties of CA-AG-groupoids have been studied. Relationship among CA-AG-groupoids and other subclasses of AG-groupoids is investigated. It is shown that the subclass of CA-AG-groupoid is different from that of the AG{*}-groupoid as well as AG{*}{*}-groupoids.

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Muhammad Iqbal, Imtiaz Ahmad, Muhammad Shah, Muhammad Irfan Ali. 2015-10-05. On cyclic associative Abel-Grassman groupoids. https://arxiv.org/abs/1510.01316

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