Local rings of finite Cohen-Macaulay type

DOI10.1006/jabr.1997.7319zbMath0921.13015OpenAlexW1988358587MaRDI QIDQ1265557

Roger Wiegand

Publication date: 28 September 1998

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7319

zbMATH Keywords

finite representation typedescentmaximal Cohen-Macaulay modulesascentseparable closure

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Cohen-Macaulay modules (13C14) Hypersurfaces and algebraic geometry (14J70)

Related Items (16)

Examples of non-commutative crepant resolutions of Cohen Macaulay normal domains ⋮ Ascent of module structures, vanishing of Ext, and extended modules ⋮ Extended modules ⋮ A Krull-Schmidt theorem for one-dimensional rings of finite Cohen-Macaulay type ⋮ Depth of C ( X )-modules ⋮ Classifying resolving subcategories over a Cohen-Macaulay local ring ⋮ Monoids of torsion-free modules over rings with finite representation type ⋮ Auslander's theorem and \(n\)-isolated singularities ⋮ Classifying thick subcategories of the stable category of Cohen-Macaulay modules ⋮ Finite Gorenstein representation type implies simple singularity ⋮ Observations on the \(F\)-signature of local rings of characteristic \(p\) ⋮ Computation of depth in \(C(X)\) ⋮ Bounds for indecomposable torsion-free modules ⋮ Ascent of finite Cohen-Macaulay type ⋮ Decent intersection and Tor-rigidity for modules over local hypersurfaces ⋮ Local rings of bounded Cohen-Macaulay type

Uses Software

• classifyCeq.lib

Cites Work

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• Two theorems on excellent rings
• Solutions d'équations à coefficients dans un anneau hensélien
• Characterization of Completions of Unique Factorization Domains
• Descent of the canonical module in rings with the approximation property
• On the decomposition of modules

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