On the minimaxness and coatomicness of local cohomology modules

DOI10.21136/CMJ.2021.0383-20OpenAlexW4200339725MaRDI QIDQ5071601

Marziyeh Hatamkhani, Hajar Roshan Shekalgourabi

Publication date: 22 April 2022

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/cmj.2021.0383-20

zbMATH Keywords

local-global principlecoatomic moduleminimax modulelocal cohomology moduleArtinian module

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Structure, classification theorems for modules and ideals in commutative rings (13C05) Local cohomology and commutative rings (13D45)

Cites Work

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• Minimax-Moduln. (Minimax modules)
• On the maximality condition for radically full submodules
• On the structure of couniform and complemented modules
• Koatomare Moduln
• Modules cofinite with respect to an ideal
• Affine duality and cofiniteness
• Minimax modules, local homology and local cohomology
• Subcategories of extension modules by Serre subcategories
• Cohomological Dimension of Complexes
• Artinian Local Cohomology Modules
• On the cofiniteness of local cohomology modules
• On Minimax and Related Modules
• Cofiniteness of local cohomology modules for ideals of dimension one
• A finiteness result for associated primes of local cohomology modules
• Cohomological dimension of certain algebraic varieties
• Finiteness of Local Cohomology Modules Defined by a Pair of Ideals
• ARTINIANNESS OF LOCAL COHOMOLOGY MODULES
• Finiteness properties of minimax and coatomic local cohomology modules
• Minimaxness and finiteness properties of local homology and local cohomology modules

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