Characterizing Ordered Bi-Ideals in Ordered Γ-Semigroups

The notion of a Γ-semigroup was introduced by Sen [8] in 1981. We can see that any semigroup can be considered as a Γ-semigroup. The aim of this article is to study the concept of (0-)minimal and max- imal ordered bi-ideals in ordered Γ-semigroups, and give some charac- terizations of (0-)minimal and maximal ordered bi-ideals in ordered Γ- semigroups analogous to the characterizations of (0-)minimal and maxi- mal ordered bi-ideals in ordered semigroups considered by Iampan [5].