Asymptotic behaviour of attached primes

DOI10.1080/00927879708826052zbMath0902.13013OpenAlexW2034352285MaRDI QIDQ4361056

C. Naudé

Publication date: 6 December 1998

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

Full work available at URL: https://doi.org/10.1080/00927879708826052

zbMATH Keywords

valuationintegral closureattached primeArtinian moduleadic filtrationclosure filtration

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Related Items (1)

Asymptotic primes and sequences over a module

Cites Work

• Asymptotic prime divisors
• Stably free modules of `big rank' over polynomial rings are free
• Integral Closures of Ideals Relative to Local Cohomology Modules Over Quasi-Unmixed Local Rings
• Filtrations, closure operations and prime divisors
• 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
• On prime divisors of \(I^n\), \(n\) large

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