Asymptotic behaviour of integral closures of ideals

DOI10.1080/00927879908826799zbMath0957.13003OpenAlexW1997417992MaRDI QIDQ4934110

Alan Keith Kingsbury, Rodney Y. Sharp

Publication date: 2 March 2000

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

Full work available at URL: https://doi.org/10.1080/00927879908826799

zbMATH Keywords

associated primesattached primesintegral closure of ideal

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Integral closure of commutative rings and ideals (13B22) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Cites Work

• Unnamed Item
• Prime divisors and divisorial ideals
• Asymptotic behaviour of integral closures of ideals relative to Artinian modules
• Integral Closures of Ideals Relative to Local Cohomology Modules Over Quasi-Unmixed Local Rings
• Reductions and Integral Closures of Ideals Relative to an Artinian Module
• Artinian modules over commutative rings
• Asymptotic Primes and Integral Closure in Modules
• Asymptotic behaviour of certain sets of prime ideals

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