Ringerweiterung und lokalisation

DOI10.1080/00927877908822371zbMath0405.16019OpenAlexW2048061124MaRDI QIDQ4190779

Friedhelm Hansen

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1080/00927877908822371

zbMATH Keywords

homological dimensionGabriel and Krull dimensionsGabriel's theory of localizationsmallest localizing subcategory

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Homological dimension in associative algebras (16E10) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40) Localization and associative Noetherian rings (16P50) Centralizing and normalizing extensions (16S20)

Related Items (4)

Subidealizers and the fully bounded property ⋮ Finitistic dimensions of Noetherian rings ⋮ Homological Dimensions in a Morita Context with Applications to Subidealizers and Fixed Rings ⋮ Modules

Cites Work

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• Subrings of idealizer rings
• Idealizers in rings
• Schranken für die Gabriel- und Krull-Dimension Idealisator-ähnlicher Ringerweiterungen
• The Gabriel dimension of a module
• Lectures on injective modules and quotient rings
• Idealizers and hereditary Noetherian prime rings
• On fully left bounded left Noetherian rings
• Localization and splitting in hereditary noetherian prime rings
• The Coincidence of Idealizer Subrings
• Krull Dimension and Gabriel Dimension of Idealizers of Semimaximal Left Ideals
• On the transfer of properties to subidealizer rings
• The Transfer of the Krull Dimension and the Gabriel Dimension to Subidealizers

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