Solid generators in module categories and applications

DOI10.4171/rsmup/138MaRDI QIDQ6618804

Ryo Takahashi

Publication date: 15 October 2024

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

zbMATH Keywords

singular locussupportisolated singularitySerre subcategorynonfree locusnarrow subcategorysolid subcategory/closurethick subcategory/closure

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Module categories and commutative rings (13C60)

Cites Work

• Classifying subcategories of finitely generated modules over a Noetherian ring
• Stratifying modular representations of finite groups.
• Nonvanishing cohomology and classes of Gorenstein rings
• Hom and Ext, revisited
• Thick subcategories over Gorenstein local rings that are locally hypersurfaces on the punctured spectra
• Thick subcategories over isolated singularities
• The radius of a subcategory of modules
• Reconstruction from Koszul homology and applications to module and derived categories
• A note on thick subcategories of stable derived categories
• Projective Dimension and the Singular Locus
• Des catégories abéliennes

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