THE DIMENSION OF A SUBCATEGORY OF MODULES

DOI10.1017/fms.2015.19zbMath1353.13011arXiv1203.1955OpenAlexW2963385771MaRDI QIDQ3449988

Ryo Takahashi, Hailong Dao

Publication date: 2 November 2015

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.1955

zbMATH Keywords

Gorenstein ringdimensionCohen-Macauley ring (module)commutative noetherian local ring

Mathematics Subject Classification ID

Related Items (14)

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Cites Work

• Unnamed Item
• Stratifying modular representations of finite groups.
• The classification of special Cohen-Macaulay modules
• \(\Pi\)-supports for modules for finite group schemes.
• Nilpotence and stable homotopy theory. I
• The chromatic tower for \(D(R)\). With an appendix by Marcel Bökstedt
• On the Fitting ideals in free resolutions
• Ascent of finite Cohen-Macaulay type
• Applications of contravariantly finite subcategories
• Reflexive modules on quotient surface singularities
• Cohen-Macaulay modules on hypersurface singularities. II
• Two theorems about maximal Cohen-Macaulay modules
• Classifying resolving subcategories over a Cohen-Macaulay local ring
• Classifying thick subcategories of the stable category of Cohen-Macaulay modules
• Upper bounds for dimensions of singularity categories
• Homology of perfect complexes
• Modules in resolving subcategories which are free on the punctured spectrum
• The radius of a subcategory of modules
• Rational singularities, with applications to algebraic surfaces and unique factorization
• Comparing complexities of pairs of modules
• Generating the bounded derived category and perfect ghosts
• Contravariantly finite resolving subcategories over commutative rings
• Generators and Dimensions of Derived Categories of Modules

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