Some criteria for the Gorenstein property

DOI10.1016/j.jpaa.2004.12.038zbMath1090.13019OpenAlexW2058565376MaRDI QIDQ2570659

Craig Huneke, Douglas A. Hanes

Publication date: 28 October 2005

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.12.038

zbMATH Keywords

maximal Cohen-Macaulay moduleGorensteinnessvanishing Ext

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Cohen-Macaulay modules (13C14)

Related Items (14)

On a conjecture of Auslander and Reiten ⋮ Gorenstein algebras and Hochschild cohomology ⋮ On the theory of generalized Ulrich modules ⋮ Notes on the Hilbert-Kunz function. ⋮ On one-dimensional local rings and Berger’s conjecture ⋮ Auslander-Reiten conjecture and finite injective dimension of \(\operatorname{Hom}\) ⋮ Frobenius criteria of freeness and Gorensteinness ⋮ Extremal growth of Betti numbers and trivial vanishing of (co)homology ⋮ Hom and Ext, revisited ⋮ Some criteria for regular and Gorenstein local rings via syzygy modules ⋮ On the growth of the Betti sequence of the canonical module ⋮ Trace ideals of canonical modules, annihilators of Ext modules, and classes of rings close to being Gorenstein ⋮ Extensions of a dualizing complex by its ring: Commutative versions of a conjecture of Tachikawa ⋮ On the Auslander–Reiten conjecture for Cohen–Macaulay local rings

Cites Work

• Unnamed Item
• Gorenstein rings and modules with high numbers of generators
• Extensions of a dualizing complex by its ring: Commutative versions of a conjecture of Tachikawa
• Maximally generated Cohen-Macaulay modules.
• The Eisenbud-Evans Generalized Principal Ideal Theorem and Determinantal Ideals
• A Problem on Noetherian Local Rings of Characteristic p

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