ลักษณะของ(m,n)-ควอชีแกมมาไอดีลในกึ่งกรุปอันดับ

Abstract

In this paper we show the way we pass from ordered semigroups to ordered -semigroups by study the concept and characteristic of ordered (m,n)-quasi- Γ-ideals in ordered Γ-semigroups that are studied from the concept and properties of (m,n)-quasi-ideals in ordered semigroups considered by Suthin Thongrak and Aiyared Iampan in 2018. Then we give characteristic of ordered m -left- Γ-ideals, ordered n -right- Γ-ideals in ordered -semigroups and investigate the ordered(m,n) intersection property of ordered (m,n)-quasi- -ideals in ordered -semigroups. Regular ordered Γ-semigroups and are characterize by their ordered (m,n) -quasi- Γ-ideals and fact that every ordered (m,n)-quasi- Γ-ideals of regular ordered Γ-semigroups has the ordered (m,n) intersection property. That is intersection of ordered m -left- Γ-ideals and ordered n -right- Γ-ideals of an ordered -semigroups has the ordered (m,n) intersection property.