On the finiteness of radii of resolving subcategories

DOI10.1007/s00013-024-01965-3arXiv2308.05296OpenAlexW4391898928MaRDI QIDQ6130276

Yuki Mifune

Publication date: 2 April 2024

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2308.05296

zbMATH Keywords

Cohen-Macaulay ringradiusinjective dimensionsemidualizing moduleresolving subcategoryAuslander classbass class

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Module categories and commutative rings (13C60)

Cites Work

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• Applications of contravariantly finite subcategories
• Classifying thick subcategories of the stable category of Cohen-Macaulay modules
• The radius of a subcategory of modules
• Semi-dualizing complexes and their Auslander categories
• Contravariantly finite resolving subcategories over commutative rings
• Gorenstein Modules and Related Modules.
• Ring Homomorphisms and Finite Gorenstein Dimension
• APPLICATIONS OF COTORSION PAIRS
• Homological aspects of semidualizing modules
• Tilting, cotilting, and spectra of commutative noetherian rings
• Stable module theory

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