Annihilators of Top Local Cohomology

DOI10.1080/00927872.2010.533223zbMath1251.13015OpenAlexW2006872549MaRDI QIDQ2880422

Laura R. Lynch

Publication date: 13 April 2012

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

Full work available at URL: https://doi.org/10.1080/00927872.2010.533223

zbMATH Keywords

cohomological dimensionannihilatorslocal cohomology

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45)

Related Items (17)

ANNIHILATOR OF LOCAL COHOMOLOGY MODULES UNDER THE RING EXTENSION R⊂R[X] ⋮ Characterization of some special rings via Linkage ⋮ Local Cohomology—An Invitation ⋮ Some bounds for the annihilators of local cohomology and Ext modules ⋮ Some results on the annihilators and attached primes of local cohomology modules ⋮ Certain endomorphism rings of local cohomology modules and Lyubeznik numbers ⋮ A short note on annihilators of local cohomology modules ⋮ Reductions towards a characteristic free proof of the Canonical Element Theorem ⋮ On a conjecture of Lynch ⋮ Unnamed Item ⋮ On the annihilators and attached primes of top local cohomology modules ⋮ Annihilators of local cohomology modules and simplicity of rings of differential operators ⋮ Finiteness properties and numerical behavior of local cohomology ⋮ Annihilators of Local Cohomology Modules ⋮ Lynch's conjecture and attached primes of the top local cohomology modules ⋮ A note on Lynch’s conjecture ⋮ Cohomological dimension, cofiniteness and abelian categories of cofinite modules

Cites Work

• Unnamed Item
• The Koszul homology of an ideal
• Finiteness properties of local cohomology modules (an application of \(D\)- modules to commutative algebra)
• Cohomological annihilators
• Cofiniteness and vanishing of local cohomology modules

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