Local homology, finiteness of Tor modules and cofiniteness

DOI10.1142/S0219498817502401zbMath1451.13061arXiv1701.07721MaRDI QIDQ4594970

Hossein Faridian, Kamran Divaani-Aazar, Massoud Tousi

Publication date: 27 November 2017

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.07721

zbMATH Keywords

local cohomologycofinite moduleslocal homology

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Local cohomology and commutative rings (13D45)

Related Items (8)

Local homology, Koszul homology and Serre classes ⋮ Coartinianess of local homology modules for ideals of small dimension ⋮ Applications of reduced and coreduced modules I ⋮ Unnamed Item ⋮ Stable under specialization sets and cofiniteness ⋮ A study of cofiniteness through minimal associated primes ⋮ On the cofiniteness of generalized local cohomology modules ⋮ A Note on Abelian Categories of Cofinite Modules

Cites Work

• Unnamed Item
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• An introduction to homological algebra
• Derived functors of \(I\)-adic completion and local homology
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• Co-localization, co-support and local homology
• Affine duality and cofiniteness
• The I-adic completion and local homology for Artinian modules
• A Note on Cofinite Modules
• Local homology and cohomology on schemes
• Proregular sequences, local cohomology, and completion
• Support and adic finiteness for complexes
• Some homological properties of ideals with cohomological dimension one
• Some homological properties of complete modules

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