EQUIPRIME N-IDEALS OF MONOGENIC N-GROUPS

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 Gamma. We show that if P is an equiprime N-ideal of Gamma, then (P : Gamma)N is an equiprime ideal of N, and that the converse holds when N is a right permutable near-ring and Gamma is a monogenic N-group.