On Anderson-Badawi conjectures

DOI10.1007/S13366-017-0343-9zbMath1390.13011OpenAlexW2619660933WikidataQ59482367 ScholiaQ59482367MaRDI QIDQ1702747

Sana Hizem, Smach Sihem

Publication date: 28 February 2018

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-017-0343-9

zbMATH Keywords

2-absorbing idealPrüferPVD\(n\)-absorbing ideal\(U\)-ringstrongly \(n\)-absorbing

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Formal power series rings (13F25)

Related Items (5)

Rings in which every 2-absorbing ideal is prime ⋮ Absorbing Ideals in Commutative Rings: A Survey ⋮ On n-absorbing and strongly n-absorbing ideals of amalgamation ⋮ On n-absorbing ideals and (m,n)-closed ideals in trivial ring extensions of commutative rings ⋮ On \(n\)-absorbing ideals of locally divided commutative rings

Cites Work

• Nonnil-Noetherian rings and the SFT property
• On 2-absorbing commutative semigroups and their applications to rings.
• The Anderson-Badawi conjecture for commutative algebras over infinite fields
• On the Anderson-Badawi $\omega_{R[X}(I[X])=\omega_R(I)$ conjecture]
• Open Problems in Commutative Ring Theory
• Onn-Absorbing Ideals of Commutative Rings
• Finite Unions of Ideals and Modules
• Pairs of Rings with the Same Prime Ideals
• On 2-absorbing ideals of commutative rings
• Zero Divisors and Nilpotent Elements in Power Series Rings
• Krull Dimension in Power Series Rings

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