On the category of modules of Gorenstein dimension zero

DOI10.1007/s00209-005-0795-8zbMath1098.13014OpenAlexW2749254521MaRDI QIDQ2571394

Ryo Takahashi

Publication date: 2 November 2005

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-005-0795-8

zbMATH Keywords

indecomposableGorenstein local ringprecover

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items

On G-Regular Local Rings, Remarks on modules approximated by \(G\)-projective modules, Existence of Gorenstein projective resolutions and Tate cohomology, From CM-finite to CM-free, The structure of preenvelopes with respect to maximal Cohen-Macaulay modules, Finite Gorenstein representation type implies simple singularity, On the finitistic dimension conjecture. III: Related to the pair \(eAe\subseteq A\)., Gorenstein derived categories, An Uncountably Infinite Number of Indecomposable Totally Reflexive Modules, Gorenstein Injective Envelopes of Artinian Modules

Cites Work

• Stable equivalence for self-injective algebras and a generalization of tilting modules
• Preprojective modules over Artin algebras
• Gorenstein dimensions
• Flat covers of modules
• Gorenstein dimension and torsion of modules over commutative noetherian rings
• The homological theory of maximal Cohen-Macaulay approximations
• G-Dimension.
• Stable module theory
• Spectra of modules
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