Discovery of New Classes of AG-groupoids

Shah, Ahmad, Ali
2012 Research Journal of Recent Sciences   unpublished
We discover eight new subclasses of AG-groupoids namely; anti-commutative AG-groupoid, transitively commutative AG-groupoid, self-dual AG-groupoid, unipotent AG-groupoid, left alternative AG-groupoid, right alternative AG-groupoid, alternative AG-groupoid and flexible AG-groupoid. We prove their existence by providing examples to these classes. We also prove some basic results of these classes and present a table of their enumeration up to order 6.