2014•Unpublished venueRequires access

On Gamma-Semi-prime and Quasi Gamma-Semi-prime Ideals in Gamma-AG-Groupoids

Pairote Yiarayong

Abstract

This study investigated -ideals, -semi-prime, and quasi -semi-prime ideals in -AG-groupoids. Some characterizations of -semi-prime ideals and quasi -semi-prime ideals were obtained. Moreover, the relationships between -semi-prime and quasi -semi-prime ideals of (A: :B) and (A: :r) in -AG-groupoids were investigated. Finally, necessary and sufficient conditions were obtained of -semi-prime ideals to be quasi -semi-prime ideals in - AG-groupoids with left identity. งานวจยฉบบนไดศกษาแกมมา-ไอดล, แกมมา-เอจ-เสมอนไอดลกงเฉพาะและแกมมา-เอจ-ไอดลกงเฉพาะและไดจำแนกลกษณะเฉพาะบางประการของสงทไดกลาวมาขางตน นอกจากนยงไดศกษาความสมพนธระหวางแกมมา-ไอดล, แกมมา-เอจ-เสมอนไอดลกงเฉพาะและแกมมา-เอจ-ไอดลกงเฉพาะของ (A: :B) และ (A: :r) ในแกมมา-เอจ-กรปพอยดทมเอกลกษณทางซาย

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Key concepts: Prime (order theory), Mathematics, Associated prime, Boolean prime ideal theorem, Prime element, Prime ideal, Pure mathematics, Discrete mathematics