On cyclic associative Abel-Grassman groupoids
Group Theory
2015-10-07 v1
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 . 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.
Cite
@article{arxiv.1510.01316,
title = {On cyclic associative Abel-Grassman groupoids},
author = {Muhammad Iqbal and Imtiaz Ahmad and Muhammad Shah and Muhammad Irfan Ali},
journal= {arXiv preprint arXiv:1510.01316},
year = {2015}
}
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