On n-absorbing delta-primary ideals

Ulucak G., Tekir Ü., Koç S.

TURKISH JOURNAL OF MATHEMATICS, vol.42, no.4, pp.1833-1844, 2018 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 42 Issue: 4
  • Publication Date: 2018
  • Doi Number: 10.3906/mat-1710-3
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded, Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.1833-1844
  • Keywords: 2-absorbing ideal, delta-primary ideal, weakly n-absorbing delta-primary ideal, COMMUTATIVE RINGS

Abstract

Let R be a commutative ring with nonzero identity and n be a positive integer. In this paper, we study the concepts of n-absorbing delta-primary ideals and weakly n-absorbing delta-primary ideals, which are the generalizations of delta-primary ideals and weakly delta-primary ideals, respectively. We introduce the concepts of n-absorbing delta-primary ideals and weakly n-absorbing delta-primary ideals. Moreover, we give many properties of these new types of ideals and investigate the relations between these structures.