Filter depth of complexes

DOI10.1080/00927872.2021.1981920zbMath1490.13025OpenAlexW3211162008MaRDI QIDQ5061584

Ping'Er Zhang, Xiao Yan Yang

Publication date: 14 March 2022

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

Full work available at URL: https://doi.org/10.1080/00927872.2021.1981920

zbMATH Keywords

local cohomologyfilter depth

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Syzygies, resolutions, complexes and commutative rings (13D02) Local cohomology and commutative rings (13D45)

Cites Work

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• Artinianness of local cohomology modules defined by a pair of ideals
• Bounded complexes of flat modules
• Depth for complexes, and intersection theorems
• Some applications of a criterion for Artinianness of a module
• Filter regular sequences and generalized local cohomology modules
• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• The f-depth of an ideal on a module
• Local-Global Principle for the Artinianness of Local Cohomology Modules
• Free Resolutions in Commutative Algebra and Algebraic Geometry
• Sequences for complexes
• Support and adic finiteness for complexes

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