Asymptotic stability of primes associated to homogeneous components of multigraded modules

DOI10.1016/J.JALGEBRA.2006.03.020zbMath1110.13002OpenAlexW2040619105MaRDI QIDQ858726

Futoshi Hayasaka

Publication date: 11 January 2007

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.03.020

zbMATH Keywords

grademultigraded modulespreadassociated primemultigraded ring

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (5)

Associated points and integral closure of modules ⋮ Asymptotic Periodicity of Primes Associated to Multigraded Modules ⋮ On the Asymptotic Depth of Multigraded Modules ⋮ Asymptotic periodicity of grade associated to multigraded modules ⋮ Associated Primes of (Non-Standard) Multigraded Modules

Cites Work

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• Prime divisors and divisorial ideals
• The asymptotic Ass
• Primes associated to multigraded modules.
• Asymptotic Stability of Ass(M/I n M)
• The asymptotic nature of the analytic spread
• Prime ideals associated to symmetric powers of a module
• Asymptotic behaviour of certain sets of prime ideals

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