On n-semiprimary ideals and n-pseudo valuation domains

DOI10.1080/00927872.2020.1803345zbMath1453.13006arXiv2003.05537OpenAlexW3049668530MaRDI QIDQ5148549

Ayman Badawi, David F. Anderson

Publication date: 4 February 2021

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.05537

zbMATH Keywords

valuation domainprime idealradical idealprimary ideal2-absorbing idealpseudo-valuation domain\(n\)-absorbing idealpseudo-almost valuation domainpowerful idealsemiprimary ideal

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (1)

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Cites Work

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• Root closure in integral domains
• Almost Bézout domains
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• A proof of the Anderson-Badawi \(\operatorname{rad}(I)^n\subseteq I\) formula for \(n\)-absorbing ideals
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• Onn-Absorbing Ideals of Commutative Rings
• On Pseudo-Almost Valuation Domains
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• On divided commutative rings
• On abelian π-regular rings
• POWERFUL IDEALS, STRONGLY PRIMARY IDEALS, ALMOST PSEUDO-VALUATION DOMAINS, AND CONDUCIVE DOMAINS
• On Almost Valuation and Almost Bézout Rings
• On 2-absorbing ideals of commutative rings

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