Hilbert-Samuel functions of modules over Cohen-Macaulay rings

DOI10.1090/S0002-9939-06-08519-4zbMath1109.13014arXivmath/0412194OpenAlexW1854385170MaRDI QIDQ3420035

Tony Joseph Puthenpurakal, Srikanth B. Iyengar

Publication date: 1 February 2007

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

Full work available at URL: https://arxiv.org/abs/math/0412194

zbMATH Keywords

Hilbert-Samuel functionsgrowth and vanishing of derived functors

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)

Related Items (8)

Homological aspects of derivation modules and critical case of the Herzog-Vasconcelos conjecture ⋮ On the degree of Hilbert polynomials associated to the torsion functor ⋮ Bass and Betti numbers of \(A/I^n\) ⋮ Vanishing of (co)homology of Burch and related submodules ⋮ Hilbert-Samuel polynomials for the contravariant extension functor ⋮ Modules that detect finite homological dimensions ⋮ On the degree of Hilbert polynomials of derived functors ⋮ Criteria for prescribed bound on projective dimension

Cites Work

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• Homology of Noetherian rings and local rings
• Cohen-Macaulay approximation and multiplicity
• Small homomorphisms of local rings
• Hilbert coefficients of a Cohen-Macaulay module.
• Homological dimensions and Macaulay rings
• The Poincaré series of a local ring
• On the computation of the Ratliff-Rush closure
• Derived functors and Hilbert polynomials
• Homological Invariants of Powers of an Ideal
• Homological properties of powers of the maximal ideal of a local ring

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