ON (m,n)-QUASI-GAMMA-IDEALS IN ORDERED LA-GAMMA-SEMIGROUPS

ผู้วิจัย

WICHAYAPORN JANTANAN RONNASON CHINRAM AND PATTARAWAN PETCHKAEW

บทคัดย่อ

In this paper, we introduce the concepts of m-left-Γ-ideals, n-right-Γ-ideals and (m,n)-quasi-Γ-ideals in ordered LA-Γ-semigroups and investigate about some properties of those ideals. We show that the intersection of an m-left-Γ-ideal and an n-right-Γ-ideal of an ordered LA-Γ-semigroup is an (m,n)-quasi-Γ-ideal. In addition, we introduce the notion of the (m,n) intersection property in ordered LA-Γ-semigroups and prove that every (m,n)- quasi-Γ-ideal in an ordered LA-Γ-semigroup with left identity has the (m,n) intersection property.

บรรณานุกรม

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