Vanishing of the top local cohomology modules over noetherian rings

DOI10.1007/S12044-009-0003-6zbMath1179.13012arXivmath/0702159OpenAlexW2074550817MaRDI QIDQ839963

Kamran Divaani-Aazar

Publication date: 4 September 2009

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702159

zbMATH Keywords

local cohomologyartinian module

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45)

Related Items (7)

Some results on top local cohomology modules ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the annihilators and attached primes of top 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 ⋮ Gorenstein Injective Envelopes of Artinian Modules

Cites Work

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• Attached primes of the top local cohomology modules with respect to an ideal
• A rigidity result for highest order local cohomology modules
• Cohomological dimension of algebraic varieties
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• On asymptotic stability for sets of prime ideals connected with the powers of an ideal
• Artinian modules over commutative rings
• Cohomological dimension of certain algebraic varieties
• Some Rigidity Results for Highest Order Local Cohomology Modules
• Top Local Cohomology Modules
• AN ELEMENTARY PROOF OF THE NON-VANISHING OF CERTAIN LOCAL COHOMOLOGY MODULES
• ARTINIANNESS OF LOCAL COHOMOLOGY MODULES OF ZD-MODULES
• On the attached prime ideals of certain Artinian local cohomology modules

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