Rings in which every 2-absorbing ideal is prime

DOI10.1007/S13366-017-0366-2zbMath1415.13005OpenAlexW2766961715MaRDI QIDQ1646661

Driss Bennis, Brahim Fahid

Publication date: 25 June 2018

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

Full work available at URL: https://doi.org/10.1007/s13366-017-0366-2

zbMATH Keywords

valuation domainprime ideal2-absorbing ideal

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Valuation rings (13F30)

Related Items (8)

On $n$-absorbing prime ideals of commutative rings ⋮ 2-AB rings and 2-absorbing rings ⋮ On 2-absorbing ideals of commutative semirings ⋮ Absorbing Ideals in Commutative Rings: A Survey ⋮ Rings in Which Every 2-Absorbing Ideal Is Prime ⋮ Rings in which every 2-absorbing primary ideal is primary ⋮ On perfect ideals of seminearrings ⋮ On \(n\)-absorbing ideals of locally divided commutative rings

Cites Work

• Unnamed Item
• On Anderson-Badawi conjectures
• On 2-absorbing commutative semigroups and their applications to rings.
• On the equality of ordinary and symbolic powers of ideals
• ON n-ABSORBING IDEALS AND THE n-KRULL DIMENSION OF A COMMUTATIVE RING
• ON 2-ABSORBING PRIMARY IDEALS IN COMMUTATIVE RINGS
• On (m,n)-closed ideals of commutative rings
• On $n$-absorbing rings and ideals
• Onn-Absorbing Ideals of Commutative Rings
• On 2-absorbing ideals of commutative rings

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