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$2$-Absorbing $\delta$-primary Ideals in Commutative Rings

Brahim Fahid|Zhao Dongsheng
경북대학교 자연과학대학 수학과|2017.06|Kyungpook Mathematical Journal|제57권 제2호|pp. 193-198

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참고문헌

키워드

$\delta$-primary ideal$2$-absorbing ideal$2$-absorbing primary ideal$2$-absorbing $\delta$-primary ideal.
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초록

In this paper we investigate $2$-absorbing $\delta$-primary ideals which unify $2$-absorbing ideals and $2$-absorbing primary ideals. A number of results about $2$-absorbing ideals and $2$-absorbing primary ideals are extended into this general framework.

Abstract

In this paper we investigate $2$-absorbing $\delta$-primary ideals which unify $2$-absorbing ideals and $2$-absorbing primary ideals. A number of results about $2$-absorbing ideals and $2$-absorbing primary ideals are extended into this general framework.

참고문헌 (7)

  1. D. F. Anderson, "On n-absorbing ideals of commutative rings", Comm. Algebra, 39, pp.1646~1672 (2011)
  2. D. D. Anderson, "Generalizations of prime ideals", Comm. Algebra, 36, pp.686~696 (2008)
  3. A. Badawi, "On 2-absorbing ideals of commutative rings", Bull. Austral. Math. Soc., 75, pp.417~429 (2007)
  4. Ayman Badawi, "On 2-absorbing primary ideals in commutative rings", 대한수학회보, 51(4), pp.1163~1173 (2014), 대한수학회
  5. A. Y. Darani, "Generalizations of primary ideals in commutative rings", Novi Sad J. Math., 42, pp.27~35 (2012)
  6. S. Payrovi, "On the 2-absorbing ideals", Int. Math. Forum, 7, pp.265~271 (2012)
  7. D. Zhao, "δ-primary ideals of commutative rings", Kyungpook Math. J., 4, pp.17~22 (2001)

관련 논문AI추천

2-absorbin δ-semiprimary Ideals of Commutative RingsEce Yetkin Celikel경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2021 · 제61권 제4호On $\phi$-$n$-absorbing primary ideals of commutative ringsAhmad Yousefian Darani, Hojjat Mostafanasab대한수학회 · 대한수학회지2016 · 제53권 제3호On 2-absorbing primary ideals in commutative ringsAyman Badawi, Ece Yetkin, Unsal Tekir대한수학회 · 대한수학회보2014 · 제51권 제4호ON WEAKLY 2-ABSORBING PRIMARY IDEALS OF COMMUTATIVE RINGSAyman Badawi, Ece Yetkin, Unsal Tekir대한수학회 · 대한수학회지2015 · 제52권 제1호ON (n, 1)-ABSORBING δ-PRIMARY IDEALSAbdelhaq El Khalfi, Hicham Laarabi, Hinda Hamraoui장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2024 · 제27권 제2호On 2-Absorbing and Weakly 2-Absorbing Primary Ideals of a Commutative SemiringFatemeh Soheilnia경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제1호

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