- Hacettepe Journal of Mathematics and Statistics
- Vol: 40 Issue: 3
- Equiprime N-ideals of Monogenic N-groups ABSTRACT | FULL TEXT
Equiprime N-ideals of Monogenic N-groups ABSTRACT | FULL TEXT
Authors : Funda Taşdemir, A. O. Atagün , h. Altindiş
Pages : 375-382
View : 15 | Download : 8
Publication Date : 2011-03-01
Article Type : Research
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 (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