EQUIPRIME N-IDEALS OF MONOGENIC N-GROUPS

Taşdemir F., Atagun A. O., Altındiş H.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.40, no.3, pp.375-382, 2011 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 40 Issue: 3
  • Publication Date: 2011
  • Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.375-382
  • Keywords: Prime near-ring, Prime ideal, Prime N-group, Equiprime N-ideal, NEAR-RINGS
  • Yozgat Bozok University Affiliated: Yes

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 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.