The Anderson-Badawi conjecture for commutative algebras over infinite fields

DOI10.1007/s13226-016-0194-3zbMath1368.13002OpenAlexW2468950137WikidataQ122877715 ScholiaQ122877715MaRDI QIDQ2360586

Guram Donadze

Publication date: 4 July 2017

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-016-0194-3

zbMATH Keywords

\(n\)-absorbing idealstrongly \(n\)-absorbing ideal

Mathematics Subject Classification ID

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

Related Items (6)

Absorbing Ideals in Commutative Rings: A Survey ⋮ On Anderson-Badawi conjectures ⋮ n-Absorbing Ideals of Commutative Rings and Recent Progress on Three Conjectures: A Survey ⋮ A proof of the Anderson-Badawi \(\operatorname{rad}(I)^n\subseteq I\) formula for \(n\)-absorbing ideals ⋮ 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

• Open Problems in Commutative Ring Theory
• Onn-Absorbing Ideals of Commutative Rings
• On 2-absorbing ideals of commutative rings

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