A Separated Cohomologically Complete Module is Complete

DOI10.1080/00927872.2014.924129zbMath1320.13011arXiv1312.2714OpenAlexW2962834180MaRDI QIDQ5245151

Amnon Yekutieli

Publication date: 2 April 2015

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

Full work available at URL: https://arxiv.org/abs/1312.2714

zbMATH Keywords

adic completionderived completionadically cohomologically complete moduleadically complete moduleadically separated module

Mathematics Subject Classification ID

Resolutions; derived functors (category-theoretic aspects) (18G10) Completion of commutative rings (13B35) Complete rings, completion (13J10)

Related Items (8)

Extended local cohomology and local homology ⋮ Flat morphisms of finite presentation are very flat ⋮ Adically finite chain complexes ⋮ Adic Foxby classes ⋮ Filter regular sequences and endomorphisms of local cohomology modules ⋮ The homotopy theory of complete modules ⋮ Pseudo-dualizing complexes and pseudo-derived categories ⋮ Support and adic finiteness for complexes

Cites Work

• Approximations of complete modules by complete big Cohen-Macaulay modules over a Cohen-Macaulay local ring
• Derived functors of \(I\)-adic completion and local homology
• The higher properties of R-sequences
• On the homology of completion and torsion
• A criterion for \(I\)-adic completeness
• On Flatness and Completion for Infinitely Generated Modules over Noetherian Rings
• Some homological properties of complete modules

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