• ON PRIME AND QUASI PRIME IDEALS IN AG-GROUPOIDS

Tanjaroenrat R., Yiarayong P., Panpho P*.

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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