Attached primes of local cohomology modules of complexes

DOI10.1216/jca.2023.15.75zbMath1521.13027OpenAlexW4381514892MaRDI QIDQ6170623

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Publication date: 10 August 2023

Published in: Journal of Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://www.projecteuclid.org/journals/journal-of-commutative-algebra/volume-15/issue-1/ATTACHED-PRIMES-OF-LOCAL-COHOMOLOGY-MODULES-OF-COMPLEXES/10.1216/jca.2023.15.75.full

zbMATH Keywords

derived categorylocal cohomologyLichtenbaum-Hartshorne vanishing theoremattached primes

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Derived categories and commutative rings (13D09)

Cites Work

• The derived category analogue of the Hartshorne-Lichtenbaum vanishing theorem
• On the condition Going up for \({R \subset \hat{R}}\)
• Matlis duality and the width of a module
• Bounded complexes of flat modules
• Gorenstein dimensions
• Artinian cofinite modules and going-up for \(R\subseteq \widehat {R}\)
• The derived category analogue of some results in local cohomology
• Attached primes of the top local cohomology modules with respect to an ideal
• Local rings with zero-dimensional formal fibers
• Attached primes and Matlis duals of local cohomology modules
• Cofiniteness and coassociated primes of local cohomology modules
• Über koassoziierte Primideale.
• THE LICHTENBAUM-HARTSHORNE THEOREM FOR GENERALIZED LOCAL COHOMOLOGY AND CONNECTEDNESS
• Bass numbers of derived local cohomology with respect to a specialization closed subset
• A Note on the Artinian Cofinite Modules
• AN ELEMENTARY PROOF OF THE NON-VANISHING OF CERTAIN LOCAL COHOMOLOGY MODULES

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