A Unified Approach to Local Cohomology Modules using Serre Classes

DOI10.4153/CMB-2010-064-0zbMath1205.13023arXiv0712.3875OpenAlexW3098966060MaRDI QIDQ3063886

Massoud Tousi, Mohsen Asgharzadeh

Publication date: 16 December 2010

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.3875

zbMATH Keywords

local cohomology modulesAssociated prime idealsSerre classes

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45)

Related Items (20)

UPPER BOUNDS FOR FINITENESS OF GENERALIZED LOCAL COHOMOLOGY MODULES ⋮ Local homology, Koszul homology and Serre classes ⋮ Faltings’ Local-global Principle for the Finiteness of Local Cohomology Modules over Noetherian Rings ⋮ Cofiniteness and Artinianness of certain local cohomology modules ⋮ \({\mathcal {S}}\)-minimaxness and local cohomology modules ⋮ The realization problem for generalized torsion theories ⋮ Some results on the finiteness of generalized local cohomology modules using Serre classes ⋮ Some properties of Serre subcategories in the graded local cohomology modules ⋮ General local cohomology modules in view of low points and high points ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Melkersson conditions with respect to a prime ideal ⋮ Faltings’ local–global principle for the in dimension <n of local cohomology modules ⋮ Torsion functors of local cohomology modules ⋮ Unnamed Item ⋮ Faltings’ local–global principle and annihilator theorem for the finiteness dimensions ⋮ Depth of an ideal on ZD-modules ⋮ Modules cofinite and weakly cofinite with respect to an ideal ⋮ SERRE SUBCATEGORY, LOCAL HOMOLOGY AND LOCAL COHOMOLOGY ⋮ Cohomological dimension, cofiniteness and abelian categories of cofinite modules

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