Local cohomology and Serre subcategories

DOI10.1016/J.JALGEBRA.2008.04.002zbMath1153.13014OpenAlexW1975720173MaRDI QIDQ949602

Leif Melkersson, Moharram Aghapournahr

Publication date: 21 October 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.04.002

zbMATH Keywords

local cohomologySerre subcategory\({\mathcal S}\)-regular sequence

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45)

Related Items (33)

Cofiniteness of torsion functors of a pair of cofinite modules (II) ⋮ UPPER BOUNDS FOR FINITENESS OF GENERALIZED LOCAL COHOMOLOGY MODULES ⋮ Local homology, Koszul homology and Serre classes ⋮ Cofiniteness and Artinianness of certain local cohomology modules ⋮ \({\mathcal {S}}\)-minimaxness and local cohomology modules ⋮ Filter Depth and Cofiniteness of Local Cohomology Modules Defined by a Pair of Ideals ⋮ The realization problem for generalized torsion theories ⋮ Local cohomology, cofiniteness and homological functors of modules ⋮ Abelian category of weakly cofinite modules and local cohomology ⋮ On the Abelian categories of cofinite modules ⋮ Some properties of Serre subcategories in the graded local cohomology modules ⋮ Melkersson condition for extension of Serre subcategories ⋮ Lower bounds of certain general local cohomology modules ⋮ Torsion theories connected by a heart and hearts of intervals ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The torsion theory and the Melkersson condition ⋮ COFINITENESS OF GENERALIZED LOCAL COHOMOLOGY MODULES ⋮ Melkersson conditions with respect to a prime ideal ⋮ Finiteness of Local Cohomology Modules Defined by a Pair of Ideals ⋮ Artinianness of local cohomology modules ⋮ Torsion functors of local cohomology modules ⋮ Cohen-Macaulayness with respect to Serre classes ⋮ $S$-depth on $ZD$-modules and local cohomology ⋮ Lower Bounds for Local Cohomology Modules with Respect to a Pair of Ideals ⋮ Annihilators of local cohomology modules over a Cohen-Macaulay ring ⋮ Depth of an ideal on ZD-modules ⋮ Subcategories of extension modules by Serre subcategories ⋮ On non Artinian cofinite generalized local cohomology modules ⋮ Some Results on Generalized Local Cohomology Modules ⋮ Cofiniteness of torsion functors of ideal transforms ⋮ SERRE SUBCATEGORY, LOCAL HOMOLOGY AND LOCAL COHOMOLOGY ⋮ Cohomological dimension, cofiniteness and abelian categories of cofinite modules

Cites Work

• Modules cofinite with respect to an ideal
• Some applications of a criterion for Artinianness of a module
• Artinianness of local cohomology modules
• Associated primes and cofiniteness of local cohomology modules
• Cohomological dimension of algebraic varieties
• The f-depth of an ideal on a module
• A Finiteness Result for Associated Primes of Certain Ext-Modules
• Verallgemeinerte COHEN-MACAULAY-Moduln
• Cohomological dimension of certain algebraic varieties
• ON GENERALIZED REGULAR SEQUENCES AND THE FINITENESS FOR ASSOCIATED PRIMES OF LOCAL COHOMOLOGY MODULES
• Associated primes of local cohomology modules
• On the associated primes of local cohomology modules
• Top Local Cohomology Modules
• A Note on the Associated Primes of Local Cohomology Modules
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