2015/10/05 by Muhammad Iqbal, Imtiaz Ahmad, Iqbal, Muhammad +5
Mathematics · #20N02 #20N05 #20N99 #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:20N02 #msc:20N05 #msc:20N99
paper · pdf · doi:10.48550/arxiv.1510.01316
15
arxiv created 2015/10/05 · arxiv updated 2015/10/07
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.