Equiprime N-ideals of Monogenic N-groups  ABSTRACT  |  FULL TEXT

In this paper we introduce the notion of equiprime N-ideals where N is a near-ring. We consider the interconnections of equiprime, 3-prime and completely prime N-ideals of a monogenic N-group Γ. We show that if P is an equiprime N-ideal of Γ, then insert ignore into journalissuearticles values(P : Γ);N is an equiprime ideal of N, and that the converse holds when N is a right permutable near-ring and Γ is a monogenic N-group.