Asymptotic Primes of Ratliff–Rush Closure of Ideals with Respect to Modules

DOI10.1080/00927870801941689zbMath1171.13004OpenAlexW2041452771MaRDI QIDQ3514825

Jafar Amjadi, Reza Naghipour

Publication date: 23 July 2008

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

Full work available at URL: https://doi.org/10.1080/00927870801941689

zbMATH Keywords

associated primesRees ringRatliff-Rush closure\(c^*\)-operationRatliff-Rush reduction

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Commutative Noetherian rings and modules (13E05) Integral dependence in commutative rings; going up, going down (13B21)

Cites Work

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• On the relevant transform and the relevant component of an ideal
• Coefficient ideals in and blowups of a commutative Noetherian domain
• Ratliff-Rush closures of ideals with respect to a noetherian module
• INVARIANTS OF IDEALS HAVING PRINCIPAL REDUCTIONS
• Integral Closures of Ideals Relative to Local Cohomology Modules Over Quasi-Unmixed Local Rings
• The ratliff-rush ideals in a noetherian ring
• Asymptotic Primes and Integral Closure in Modules
• Asymptotic behaviour of certain sets of prime ideals

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