On the Asymptotic Depth of Multigraded Modules

DOI10.1080/00927872.2010.494648zbMath1230.13003OpenAlexW2143527464MaRDI QIDQ3103912

Gemma Colomé-Nin, Juan Elias

Publication date: 19 December 2011

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

Full work available at URL: https://doi.org/10.1080/00927872.2010.494648

zbMATH Keywords

Hilbert functiondepthmultigraded modulesRees

Mathematics Subject Classification ID

Graded rings (13A02) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (3)

Asymptotic Periodicity of Primes Associated to Multigraded Modules ⋮ Asymptotic periodicity of grade associated to multigraded modules ⋮ Associated Primes of (Non-Standard) Multigraded Modules

Cites Work

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• Cohomological properties of non-standard multigraded modules
• Asymptotic stability of primes associated to homogeneous components of multigraded modules
• Reduction numbers and multiplicities of multigraded structures
• Hilbert polynomials of non-standard bigraded algebras
• On the Gorenstein property of the diagonals of the Rees algebra
• On the asymptotic properties of the Rees powers of a module
• The depth of powers of an ideal
• Integer-Valued Polynomials
• The asymptotic nature of the analytic spread
• The diagonal subring and the Cohen-Macaulay property of a multigraded ring
• Intersection multiplicities and Hilbert polynomials.

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