On 2-Absorbing Quasi-Primary Ideals in Commutative Rings

TEKİR Ü., KOÇ S., Oral K. H., Shum K. P.

COMMUNICATIONS IN MATHEMATICS AND STATISTICS, vol.4, no.1, pp.55-62, 2016 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 4 Issue: 1
  • Publication Date: 2016
  • Doi Number: 10.1007/s40304-015-0075-9
  • Journal Name: COMMUNICATIONS IN MATHEMATICS AND STATISTICS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.55-62
  • Keywords: Prime ideal, 2-Absorbingideal, 2-Absorbing quasi-primaryideal
  • Marmara University Affiliated: Yes

Abstract

Let R be a commutative ring with nonzero identity. In this article, we introduce the notion of 2-absorbing quasi-primary ideal which is a generalization of quasi-primary ideal. We define a proper ideal I of R to be 2-absorbing quasi primary if root I is a 2-absorbing ideal of R. A number of results concerning 2-absorbing quasiprimary ideals and examples of 2-absorbing quasi-primary ideals are given.