Asymptotic Prime Ideals Related to Derived Functors

DOI10.2307/2159518zbMath0780.13003OpenAlexW4245290369MaRDI QIDQ4039291

Peter Schenzel, Leif Melkersson

Publication date: 30 January 1994

Full work available at URL: https://doi.org/10.2307/2159518

zbMATH Keywords

ExtRees ringattached prime idealsassociated prime ideals

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Related Items (10)

Ratliff-Rush filtrations associated with ideals and modules over a Noetherian ring ⋮ Asymptotic prime divisors over complete intersection rings ⋮ Finiteness of associated primes of extension and torsion functors ⋮ Asymptotic associated and attached prime ideals related to projective modules ⋮ Coherent functors and asymptotic stability ⋮ Asymptotic behaviour of certain sets of associated prime ideals of Ext-modules ⋮ Asymptotic associate primes ⋮ A short proof of a result of Katz and West ⋮ A finiteness result for associated primes of local cohomology modules ⋮ Covariant functors and asymptotic stability

Cites Work

• Unnamed Item
• On asymptotic stability for sets of prime ideals connected with the powers of an ideal
• Asymptotic Behaviour of Certain Sets of Attached Prime Ideals
• Asymptotic Stability of Ass(M/I n M)
• ARTINIAN MODULES AND HILBERT POLYNOMIALS

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