SOME BASIC PROPERTIES OF Γ-PRIMARY AND QUASI Γ-PRIMARY IDEALS IN Γ-AG-GROUPOIDS
Keywords:
Γ-AG-groupoid, Γ-LA-semigroup, Γ-ideal, quasi Γ-primary, ideal, Γ-primary idealAbstract
The purpose of this paper is to introduce the notion of a Γ-primary ideals in Γ-AG-groupoids, and Γ-ideals, Γ-primary ideals, and quasi Γ-primary ideals in Γ-AG-groupoids are studied. Some characterizations of Γ-primary and quasi Γ-primary ideals are obtained. Moreover, the relationships between Γ-primary and quasi Γ-primary ideals in Γ-AG-groupoids are investigated. Finally, the necessary and sufficient conditions of a Γ-primary ideal to be aquasi Γ-primary ideal in Γ-AG-groupoids are obtained.
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