Cofiniteness of local cohomology modules over homomorphic image of Cohen-Macaulay rings

DOI10.1007/s40306-018-0246-3zbMath1393.13034OpenAlexW2792602843WikidataQ122586317 ScholiaQ122586317MaRDI QIDQ723723

Asghar Farokhi, Alireza Nazari

Publication date: 24 July 2018

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40306-018-0246-3

zbMATH Keywords

Cohen-Macaulay ringlocal cohomologycofinite moduleweakly Laskerian module

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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• Cofiniteness and non-vanishing of local cohomology modules
• Cofinite modules and local cohomology
• Modules cofinite with respect to an ideal
• Cofiniteness and associated primes of local cohomology modules.
• Generalization of the Lichtenbaum–Hartshorne Vanishing Theorem
• On the Category of Weakly Laskerian Cofinite Modules
• On the finiteness of associated primes of local cohomology modules
• On the dimension and multiplicity of local cohomology modules
• Associated Primes of Local Cohomology Modules of Weakly Laskerian Modules
• Finiteness properties of minimax and coatomic local cohomology modules

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