On semiprime and quasi semiprime ideals in AG-groupoids

摘要

In this paper, we study ideals, semiprime and quasi semiprime ideals in AG-groupoids. Some characterizations of semiprime ideals and quasi semiprime ideals are obtained. Moreover, we investigate relationships between semiprime and quasi semiprime ideals in AG-groupoids. Finally, we obtain necessary and sufficient conditions of a semiprime ideals to be a quasi semiprime ideals in AG-groupoids.