Minimaxness and Cofiniteness Properties of Local Cohomology Modules

DOI10.1080/00927872.2012.662709zbMath1273.13025OpenAlexW2077411344MaRDI QIDQ2842677

Monireh Sedghi, Kamal Bahmanpour, Reza Naghipour

Publication date: 16 August 2013

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

Full work available at URL: https://doi.org/10.1080/00927872.2012.662709

zbMATH Keywords

cofinite modulesminimal modulesweakly Laskerian modulesFSF modules\(n\)th finiteness dimensions

Mathematics Subject Classification ID

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

Related Items (18)

Faltings’ Local-global Principle for the Finiteness of Local Cohomology Modules over Noetherian Rings ⋮ \({\mathcal {S}}\)-minimaxness and local cohomology modules ⋮ Cofiniteness with respect to the class of modules in dimension less than a fixed integer ⋮ General local cohomology modules in view of low points and high points ⋮ Faltings' local-global principle for finiteness dimension of cofinite modules ⋮ Unnamed Item ⋮ A new proof of Faltings' local-global principle for the finiteness of local cohomology modules ⋮ Faltings’ local–global principle for the in dimension <n of local cohomology modules ⋮ Finiteness dimensions and cofiniteness of local cohomology modules ⋮ A Note on the Artinian Cofinite Modules ⋮ A study of cofiniteness through minimal associated primes ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Cominimaxness of local cohomology modules ⋮ Faltings’ local–global principle and annihilator theorem for the finiteness dimensions ⋮ On the cofiniteness of small-level generalized local cohomology modules ⋮ Faltings' Local-Global Principle for the Minimaxness of Local Cohomology Modules ⋮ Faltings’ Local-Global Principle for the Finiteness of Local Cohomology Modules

Cites Work

• Unnamed Item
• Unnamed Item
• Cofiniteness of extension functors of cofinite modules
• Associated primes of local cohomology modules and Matlis duality
• Cofiniteness of local cohomology modules for ideals of small dimension
• Minimax-Moduln. (Minimax modules)
• On the maximality condition for radically full submodules
• Der Endlichkeitssatz in der lokalen Kohomologie
• Cofinite modules and local cohomology
• Modules cofinite with respect to an ideal
• Cofiniteness and associated primes of local cohomology modules.
• Affine duality and cofiniteness
• On the finiteness properties of extension and torsion functors of local cohomology modules
• On asymptotic stability for sets of prime ideals connected with the powers of an ideal
• On the cofiniteness of local cohomology modules
• On the finiteness of associated primes of local cohomology modules
• Finiteness properties of local cohomology modules for $\mathfrak a$-minimax modules
• On the finiteness of Bass numbers of local cohomology modules
• Cofiniteness and vanishing of local cohomology modules
• Endlichkeitsbedingungen für Moduln über einem Noetherschen Ring
• Cofiniteness of local cohomology modules for ideals of dimension one
• Cofiniteness of Local Cohomology Modules Over Regular Local Rings
• Associated Primes of Local Cohomology Modules of Weakly Laskerian Modules

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