ON n-PRIME IDEALS

Sevim E. S. , Koç S.

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, vol.80, no.2, pp.179-190, 2018 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 80 Issue: 2
  • Publication Date: 2018
  • Journal Name: UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.179-190
  • Keywords: prime ideals, prime spectrum, n-prime Ideals, n-prime spectrum, 2-ABSORBING IDEALS, COMMUTATIVE RINGS

Abstract

In this article, we introduce an intermediate classes of ideals between prime and quasi primary ideals, denoted by n-prime, and we focus on some properties of n-prime ideals. Moreover, we defined a topology on the set of all n-prime ideals such that we examine the topological concepts, irreducibility, connectedness, and seperation axioms.