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On 2-Absorbing Quasi-Primary Ideals in Commutative Rings

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 \(\sqrt{I}\) is a 2-absorbing ideal of R. A number of results concerning 2-absorbing quasi-primary ideals and examples of 2-absorbing quasi-primary ideals are given.

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Correspondence to Unsal Tekir.

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Tekir, U., Koç, S., Oral, K.H. et al. On 2-Absorbing Quasi-Primary Ideals in Commutative Rings. Commun. Math. Stat. 4, 55–62 (2016). https://doi.org/10.1007/s40304-015-0075-9

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Keywords

  • Prime ideal
  • 2-Absorbing ideal
  • 2-Absorbing quasi-primary ideal

Mathematics Subject Classification

  • 13A15
  • 13F05
  • 13G05