Advanced Mathematical Models & Applications, cilt.5, sa.3, ss.307-312, 2020 (Hakemli Dergi)
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.