Local cohomology based on a nonclosed support defined by a pair of ideals
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Publication:1004465
DOI10.1016/j.jpaa.2008.09.008zbMath1160.13013arXiv0709.3149OpenAlexW1979560620MaRDI QIDQ1004465
Ryo Takahashi, Takeshi Yoshizawa, Yuji Yoshino
Publication date: 10 March 2009
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0709.3149
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ON GRADED LOCAL COHOMOLOGY MODULES DEFINED BY A PAIR OF IDEALS ⋮ THE CONCEPT OF (I; J)-COHEN MACAULAY MODULES ⋮ On Gorenstein injectivity of top local cohomology modules ⋮ Unnamed Item ⋮ Cofiniteness and Artinianness of certain local cohomology modules ⋮ On formal local cohomology modules with respect to a pair of ideals ⋮ On Injective and Gorenstein Injective Dimensions of Local Cohomology Modules ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Ideal transforms and local cohomology defined by a pair of ideals ⋮ Unnamed Item ⋮ Finiteness properties of local cohomology modules over differentiable admissible algebras ⋮ Filter Depth and Cofiniteness of Local Cohomology Modules Defined by a Pair of Ideals ⋮ Artinianness and finiteness of formal local cohomology modules with respect to a pair of ideals ⋮ On the stable under specialization sets and cofiniteness of local cohomology ⋮ The derived category analogue of the Hartshorne-Lichtenbaum vanishing theorem ⋮ Some properties of generalized local cohomology modules with respect to a pair of ideals ⋮ Some results on top generalized local cohomology modules with respect to a system of ideals ⋮ Ideal transforms with respect to a pair of ideals ⋮ Coserreness with respect to specialization closed subsets and some Serre subcategories ⋮ Graded components of local cohomology modules. II ⋮ The derived category analogue of some results in local cohomology ⋮ Cofiniteness of local cohomology modules for a pair of ideals for small dimensions ⋮ General local cohomology modules with small dimensions ⋮ Bass numbers of generalized local cohomology modules with respect to a pair of ideals ⋮ Unnamed Item ⋮ Stable under specialization sets and cofiniteness ⋮ Bass numbers of derived local cohomology with respect to a specialization closed subset ⋮ Weakly cofiniteness of local cohomology modules ⋮ Some results on top local cohomology modules with respect to a pair of ideals ⋮ On the attached prime ideals of localcohomology modules defined by a pair of ideals ⋮ On the finiteness results of generalized local cohomology modules with respect to a pair of ideals ⋮ Finiteness of Local Cohomology Modules Defined by a Pair of Ideals ⋮ Some finiteness results for local cohomology modules with respect to a pair of ideals ⋮ $S$-depth on $ZD$-modules and local cohomology ⋮ Lower Bounds for Local Cohomology Modules with Respect to a Pair of Ideals ⋮ On minimax modules and generalized local cohomology with respect to a pair of ideals ⋮ Some properties of local cohomology modules defined by a pair of ideals ⋮ Top local cohomology modules with respect to a pair of ideals ⋮ On the endomorphism ring and Cohen-Macaulayness of local cohomology defined by a pair of ideals ⋮ The derived category analogues of Faltings Local-global Principle and Annihilator Theorems ⋮ Some splitting theorems for local cohomology modules with respect to a pair of ideals ⋮ Attached primes of local cohomology modules with respect to a pair of ideals ⋮ Unnamed Item ⋮ Endomorphism ring of local cohomology modules with respect to a pair of ideals ⋮ Non-Artinian Local Cohomology with Respect to a Pair of Ideals ⋮ Finiteness properties of extension functors of cominimax modules
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