A note on Lynch’s conjecture

DOI10.1080/00927872.2016.1233237zbMath1375.13022OpenAlexW2529785476MaRDI QIDQ5274869

Kamal Bahmanpour

Publication date: 6 July 2017

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

Full work available at URL: https://doi.org/10.1080/00927872.2016.1233237

zbMATH Keywords

cohomological dimensionlocal cohomologyNoetherian ringcofinite moduleattached prime

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Local cohomology and commutative rings (13D45) Local cohomology and algebraic geometry (14B15)

Related Items

ANNIHILATOR OF LOCAL COHOMOLOGY MODULES UNDER THE RING EXTENSION R⊂R[X] ⋮ On a question of Hartshorne ⋮ Some results on Artinian cofinite top local cohomology modules ⋮ Local Cohomology—An Invitation ⋮ On a conjecture of Lynch ⋮ A study of cofiniteness through minimal associated primes ⋮ Cofiniteness over Noetherian complete local rings ⋮ Lynch's conjecture and attached primes of the top local cohomology modules ⋮ Cohomological dimension, cofiniteness and abelian categories of cofinite modules

Cites Work

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• Affine duality and cofiniteness
• Annihilators of Top Local Cohomology
• EXACTNESS OF IDEAL TRANSFORMS AND ANNIHILATORS OF TOP LOCAL COHOMOLOGY MODULES
• Cohomological annihilators
• Cofiniteness and vanishing of local cohomology modules
• Cohomological dimension of certain algebraic varieties
• Annihilators of Local Cohomology Modules
• A Note on the Artinian Cofinite Modules

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