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

Authors : Funda TAŞDEMİR, Ao ATAGÜN ,  h ALTINDİŞ

Pages : 375-382

View : 24 | Download : 13

Publication Date : 2011-03-01

Article Type : Research Paper

Abstract :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.
Keywords : Prime near ring, Prime ideal, Prime N group, Equiprime N ideal, 2000 AMS Classification 16 Y 30