On Quasi-Left Primary and Quasi-Primary Γ-ideals in Γ-AG-Groupoids.
Keywords:
Γ -AG-groupoid, Γ -LA-semigroup, Γ -ideal, quasi-primary quasi-left primaryAbstract
The purpose of this paper is to introduce the notion of a quasi-primary ideals in Γ -AG-groupoids, we study quasi-primary and quasi-left primary Γ-ideals in Γ-AG-groupoids. Some characterizations of quasi-primary and quasi-left primary Γ- ideals are obtained. Moreover, we investigate the relationships between quasi-primary and quasi-left primary Γideals in Γ -AG-groupoids. Finally, we obtain the necessary and sufficient conditions of a quasi-primary ideal to be a quasi-left primary Γ-ideal in Γ-AG-groupoids.
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