Faltings’ Local-global Principle for the Finiteness of Local Cohomology Modules over Noetherian Rings

DOI10.1080/00927872.2014.955574zbMath1329.13028arXiv1407.0559OpenAlexW1842720638MaRDI QIDQ3448548

Ali Akbar Mehrvarz, Monireh Sedghi, Reza Naghipour

Publication date: 26 October 2015

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

Full work available at URL: https://arxiv.org/abs/1407.0559

zbMATH Keywords

local cohomologyassociated prime ideals

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Local cohomology and algebraic geometry (14B15)

Related Items (7)

\({\mathcal {S}}\)-minimaxness and local cohomology modules ⋮ Cofiniteness with respect to the class of modules in dimension less than a fixed integer ⋮ Faltings' local-global principle for finiteness dimension of cofinite modules ⋮ Faltings’ local–global principle for the in dimension <n of local cohomology modules ⋮ Finiteness dimensions and cofiniteness of local cohomology modules ⋮ Unnamed Item ⋮ Faltings’ local–global principle and annihilator theorem for the finiteness dimensions

Cites Work

• Associated primes of local cohomology and \(S_2\)-ification
• Minimax-Moduln. (Minimax modules)
• On the maximality condition for radically full submodules
• Der Endlichkeitssatz in der lokalen Kohomologie
• Minimaxness and Cofiniteness Properties of Local Cohomology Modules
• A Unified Approach to Local Cohomology Modules using Serre Classes
• On the finiteness properties of extension and torsion functors of local cohomology modules
• On the finiteness of associated primes of local cohomology modules
• A finiteness result for associated primes of local cohomology modules
• Associated primes of local cohomology modules
• Faltings’ Local-Global Principle for the Finiteness of Local Cohomology Modules
• Unnamed Item
• Unnamed Item

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