On the condition Going up for \({R \subset \hat{R}}\)

DOI10.1007/s00013-010-0168-3zbMath1206.13011OpenAlexW2001276718MaRDI QIDQ707549

Helmut Zoeschinger

Publication date: 8 October 2010

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

Full work available at URL: https://doi.org/10.1007/s00013-010-0168-3

zbMATH Keywords

local cohomologyartinian modules and noetherian dimensioncoattached primesformal fibers

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Complete rings, completion (13J10) Commutative ring extensions and related topics (13B99)

Related Items (11)

On shifted principles for attached primes of the top local cohomology modules ⋮ Some results on Artinian cofinite top local cohomology modules ⋮ Artinian cofinite top local cohomology modules on derived category ⋮ Noetherian Dimension and Co-localization of Artinian Modules over Local Rings ⋮ Unnamed Item ⋮ Artinian cofinite modules and going-up for \(R\subseteq \widehat {R}\) ⋮ On the top local cohomology modules ⋮ Attached primes of local cohomology modules of complexes ⋮ Some properties of Artinian modules and applications ⋮ Local rings with zero-dimensional formal fibers ⋮ Attached primes of local cohomology modules with respect to a pair of ideals

Cites Work

• Unnamed Item
• Unnamed Item
• Summen von einfach-radikalvollen Moduln
• Krull's intersection theorem in case of small submodules
• AB-5* and linear compactness
• On the Noetherian dimension of Artinian modules.
• Top Local Cohomology and the Catenaricity of the Unmixed Support of a Finitely Generated Module
• KRULL DIMENSION FOR ARTINIAN MODULES OVER QUASI LOCAL COMMUTATIVE RINGS
• Formal fibers and birational extensions
• On the completeness of factor rings
• Über Die Assoziierten Primideale des Bidualen
• Kosinguläre und Kleine Moduln#

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