2014•Thammasat International Journal of Science and TechnologyRequires access

On Prime and Quasi Prime ideals in AG-Groupoids

Pairote Yiarayong, Phakakorn Panpho, R. Tanjaroenrat

Abstract

In this paper, we study ideals, prime and quasi prime ideals in AG-groupoids. Somecharacterizations of prime ideals and quasi prime ideals are obtained. Moreover, weinvestigate relationships between prime and quasi prime ideals in AG-groupoids. Finally, weobtain necessary and sufficient conditions of a prime ideal to be a quasi prime ideal in AGgroupoids.

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Key concepts: Prime (order theory), Associated prime, Boolean prime ideal theorem, Mathematics, Ideal (ethics), Prime ideal, Prime element, Prime time