Advanced Mathematical Models & Applications, vol.5, no.3, pp.307-312, 2020 (Peer-Reviewed Journal)
In this article, we extend the notions of left(right) ideal, left(right) ideal element to the left(right)
simple ordered AG-groupoids, left(right) regular ordered AG-groupoids, and regular ordered AG-groupoid. We
present the main results which characterize this class of non-associative and non-commutative ordered semigroups
through these objects.