Asymptotic behaviour of certain sets of prime ideals

DOI10.1090/S0002-9939-96-03400-4zbMath0861.13002OpenAlexW1603914786MaRDI QIDQ4890225

Alan Keith Kingsbury, Rodney Y. Sharp

Publication date: 12 May 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03400-4

zbMATH Keywords

prime idealsArtinian moduleNoetherian module

Mathematics Subject Classification ID

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 (11)

Asymptotic prime ideals related to exact functors ⋮ QUADRATIC SEQUENCES AND POWERS OF IDEALS ⋮ Asymptotic stability of primes associated to homogeneous components of multigraded modules ⋮ Asymptotic Primes of Ratliff–Rush Closure of Ideals with Respect to Modules ⋮ Primes associated to multigraded modules. ⋮ Asymptotic behaviour of attached primes ⋮ Asymptotic Periodicity of Primes Associated to Multigraded Modules ⋮ A short proof of a result of Katz and West ⋮ Asymptotic behaviour of integral closures of ideals ⋮ Associated Primes of (Non-Standard) Multigraded Modules ⋮ Covariant functors and asymptotic stability

Cites Work

• Unnamed Item
• Injective modules over Noetherian rings
• Prime divisors and divisorial ideals
• Asymptotic behaviour of integral closures of ideals relative to Artinian modules
• Asymptotic Behaviour of Certain Sets of Attached Prime Ideals
• Artinian modules over commutative rings
• Primes Associated to an Ideal
• Asymptotic Primes and Integral Closure in Modules
• Asymptotic Stability of Ass(M/I n M)
• On prime divisors of \(I^n\), \(n\) large

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