On Cyclic Associative Abel-Grassman Groupoids
M. Iqbal, I. Ahmad, M. Shah, M. Irfan Ali
Journal of Advances in Mathematics and Computer Science · pp. 1–16 · Published 7 Nov 2015
10.9734/BJMCS/2016/21867Abstract
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 di erent from that of the AG*-groupoid as well as AG**-groupoids.
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