On the Finiteness Dimension of Local Cohomology Modules

DOI10.1142/S1005386714000455zbMath1307.13025MaRDI QIDQ3191856

Amir Mafi, Hero Saremi

Publication date: 25 September 2014

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

zbMATH Keywords

local cohomology modulescofinite modulesfiniteness dimension

Mathematics Subject Classification ID

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

Related Items (3)

ARTINIANNESS OF COMPOSED LOCAL COHOMOLOGY MODULES ⋮ Unnamed Item ⋮ A note on almost Cohen–Macaulay modules

Cites Work

• Associated primes of local cohomology modules and Matlis duality
• Cofiniteness of local cohomology modules for ideals of small dimension
• Cofinite modules and local cohomology
• Modules cofinite with respect to an ideal
• Asymptotic behaviour of certain sets of associated prime ideals of Ext-modules
• Affine duality and cofiniteness
• Generalized Regular Sequence and Finiteness of Local Cohomology Modules
• On the finiteness of Bass numbers of local cohomology modules
• Cofiniteness and vanishing of local cohomology modules
• Properties of cofinite modules and applications to local cohomology
• Cofiniteness of Local Cohomology Modules for Principal Ideals
• On the cofiniteness of local cohomology modules
• Cofiniteness of local cohomology modules for ideals of dimension one
• Cofiniteness of Local Cohomology Modules Over Regular Local Rings
• The local cohomology modules of Matlis reflexive modules are almost cofinite
• The associated primes of local cohomology modules over rings of small dimension

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