• ON PRIME AND QUASI PRIME IDEALS IN AG-GROUPOIDS
Abstract
In this paper, we study ideals, prime and quasi prime ideals in AG-groupoids. Some characterizations of prime ideal and quasi prime ideals are obtained. Moreover, we investigate relationships between prime and quasi prime ideals in AG-groupoids. Finally, we obtain necessary and sufficient conditions of a prime ideal to be a quasi prime ideals in AG-groupoids.
Keywords
AG-groupoid, LA-semigroup, AG-3-band, quasi prime ideal, prime ideal.
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