On the degree of Hilbert polynomials associated to the torsion functor

DOI10.1090/S0002-9939-07-08879-XzbMath1125.13009OpenAlexW2085626490MaRDI QIDQ5295086

Emanoil Theodorescu, Daniel Katz

Publication date: 27 July 2007

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-08879-x

zbMATH Keywords

torsion functorquasi-unmixed local ringHilbert Samuel polynomial

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (5)

Bass and Betti numbers of \(A/I^n\) ⋮ Hilbert polynomials for the extension functor ⋮ Hilbert-Samuel polynomials for the contravariant extension functor ⋮ On the degree of Hilbert polynomials of derived functors ⋮ Constructing big indecomposable modules

Cites Work

• Unnamed Item
• Asymptotic prime divisors
• Local rings and Golod homomorphisms
• Locally quasi-unmixed Noetherian rings and ideals of the principal class
• Derived functors and Hilbert polynomials
• Hilbert-Samuel functions of modules over Cohen-Macaulay rings
• Homological Invariants of Powers of an Ideal
• Joins and Intersections
• On Quasi-Unmixed Semi-Local Rings and the Altitude Formula

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