Lynch's conjecture and attached primes of the top local cohomology modules

DOI10.1007/s00013-021-01680-3zbMath1483.13033OpenAlexW4211032354WikidataQ113906379 ScholiaQ113906379MaRDI QIDQ2113943

Ali Atazadeh, Reza Naghipour

Publication date: 14 March 2022

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-021-01680-3

zbMATH Keywords

positive characteristiccohomological dimensionannihilatorlocal cohomologyattached primesequidimensional ringLynch's conjecture

Mathematics Subject Classification ID

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

Cites Work

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• Annihilators of Top Local Cohomology
• Cofiniteness and coassociated primes of local cohomology modules
• Cofiniteness and vanishing of local cohomology modules
• Secondary representations for injective modules over commutative Noetherian rings
• Cohomological dimension of certain algebraic varieties
• Cohomological dimension filtration and annihilators of top local cohomology modules
• Some results on top generalized local cohomology modules with respect to a system of ideals
• On a conjecture of Lynch
• A note on Lynch’s conjecture
• Finiteness properties and numerical behavior of local cohomology

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