Abstract
An AG-groupoid also called a Left-almost semigroup is
a magma satisfying the law, uv ·w = wv ·u ∀u, v, w. In this paper,
the concept of Cheban AG-groupoid is developed and investigated
as a subclass of AG-groupoid. Various non-associative examples
and counterexamples are constructed by the recent computational
techniques of Mace-4, GAP and Prover-9. Cheban AG-groupoids
are enumerated up to order 6 and various relations of this class
are established with already existing subclasses of AG-groupoids.
Furthermore, ideals in Cheban AG-groupoid are introduced and
investigated.
