Prime ideals associated to symmetric powers of a module

DOI10.1080/00927879508825486zbMath0846.13003OpenAlexW2088469930MaRDI QIDQ4852264

Daniel Katz, C. Naudé

Publication date: 7 October 1996

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

Full work available at URL: https://doi.org/10.1080/00927879508825486

zbMATH Keywords

Cohen-Macaulayunmixednessasymptotic prime idealmodule of the principal classsymmetric power of a module

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Cohen-Macaulay modules (13C14)

Related Items (12)

Asymptotic Sequences over a Module ⋮ Associated points and integral closure of modules ⋮ Asymptotic stability of primes associated to homogeneous components of multigraded modules ⋮ Asymptotic prime divisors of torsion-free symmetric powers of modules ⋮ Effective normality criteria for algebras of linear type. ⋮ A Family of Graded Modules Associated to a Module ⋮ Asymptotic Periodicity of Primes Associated to Multigraded Modules ⋮ On the Buchsbaum-Rim function of a parameter module ⋮ The Buchsbaum-Rim polynomial of a module ⋮ On the asymptotic properties of the Rees powers of a module ⋮ Ratliff-Rush closures and coefficient modules ⋮ Rees algebras of finitely generated torsion -free modules over a two-dimensional regular local ring

Cites Work

• Unnamed Item
• Asymptotic prime divisors
• The primary components of and integral closures of ideals in 3-dimensional regular local rings
• Generic free resolutions and a family of generically perfect ideals
• Ideals defined by matrices and a certain complex associated with them
• Primes Associated to an Ideal
• Asymptotic Stability of Ass(M/I n M)
• Reduction criteria for modules
• A Generalized Koszul Complex. II. Depth and Multiplicity
• On prime divisors of \(I^n\), \(n\) large

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