Asymptotic Behavior of Integral Closures in Modules

DOI10.1142/S1005386707000466zbMath1123.13006MaRDI QIDQ5297252

Peter Schenzel, Reza Naghipour

Publication date: 18 July 2007

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

Full work available at URL: http://www.worldscinet.com/ac/14/1403/S1005386707000466.html

zbMATH Keywords

associated primesNagata ringsRees' integral closures

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Integral dependence in commutative rings; going up, going down (13B21)

Related Items (1)

A characterization of local Noetherian domains which admit only finitely many star operations: the infinite residue field case

Cites Work

• On the prime divisors of IJ when I is integrally closed
• On asymptotic prime divisors
• Specialization of integral dependence for modules
• On asymptotic stability for sets of prime ideals connected with the powers of an ideal
• Reduction of modules
• Asymptotic Primes and Integral Closure in Modules
• Rees algebras of finitely generated torsion -free modules over a two-dimensional regular local ring
• Rees Algebras of Modules
• What is the Rees algebra of a module?
• Reduction criteria for modules
• Symmetric powers of complete modules over a two-dimensional regular local ring

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