Prethick Subcategories of Modules and Characterizations of Local Rings

DOI10.1080/00927872.2015.1065860zbMath1372.13010arXiv1412.8047OpenAlexW2963605107MaRDI QIDQ5740580

Hayato Murata, Hiroki Matsui

Publication date: 27 July 2016

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

Full work available at URL: https://arxiv.org/abs/1412.8047

zbMATH Keywords

regular sequencesystem of parametershomological dimension(pre)thick subcategory

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

• Stratifying modular representations of finite groups.
• Gorenstein homological dimensions.
• Modules in resolving subcategories which are free on the punctured spectrum
• Thick subcategories over Gorenstein local rings that are locally hypersurfaces on the punctured spectra
• Thick subcategories of modules over commutative noetherian rings (with an appendix by Srikanth Iyengar)
• Characterizing local rings via homological dimensions and regular sequences
• A note on thick subcategories of stable derived categories

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