A proof of the Anderson-Badawi \(\operatorname{rad}(I)^n\subseteq I\) formula for \(n\)-absorbing ideals

DOI10.1007/S12044-018-0386-3zbMath1388.13005OpenAlexW2791093175MaRDI QIDQ1754550

Guram Donadze

Publication date: 31 May 2018

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-018-0386-3

zbMATH Keywords

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

Mathematics Subject Classification ID

Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (3)

Absorbing Ideals in Commutative Rings: A Survey ⋮ On n-semiprimary ideals and n-pseudo valuation domains ⋮ On \(n\)-absorbing ideals of locally divided commutative rings

Cites Work

• On 2-absorbing commutative semigroups and their applications to rings.
• The radical of an \(n\)-absorbing ideal
• 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
• On 2-absorbing ideals of commutative rings

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