Cohomological dimensions of specialization-closed subsets and subcategories of modules

DOI10.1090/proc/15102zbMath1457.13028arXiv1912.05776OpenAlexW3116301966MaRDI QIDQ5145504

Hiroki Matsui, Tran Tuan Nam, Nguyen Minh Tri, Ryo Takahashi, Do Ngoc Yen

Publication date: 20 January 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.05776

zbMATH Keywords

cohomological dimensionderived categorymodule categorylocal cohomologysupportlocalizing subcategorySerre subcategorytorsion functorbig Cohen-Macaulay modulewide subcategoryspecialization-closed subsettransform functor

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Derived categories and commutative rings (13D09) Module categories and commutative rings (13C60)

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Symmetric subcategories, tilting modules, and derived recollements ⋮ Faltings' annihilator theorem and \(t\)-structures of derived categories

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