Intermediate Normalizing Extensions
DOI10.2307/1999258zbMath0534.16021OpenAlexW4247203017MaRDI QIDQ3317259
A. G. Heinicke, J. Chris Robson
Publication date: 1984
Full work available at URL: https://doi.org/10.2307/1999258
Jacobson radicalKrull dimensionincomparabilitychain conditionsprimitive idealprime ringuniform dimensionMartindale quotient ringfinite normalizing extensionright Goldie ringsminimal primeLying overconnected primesfinite intersection of prime idealsGoing upintermediate normalizing extensionslinked prime ideals
Group rings (16S34) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Centralizing and normalizing extensions (16S20) Modules, bimodules and ideals in associative algebras (16Dxx)
Related Items (8)
Cites Work
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- Normalizing extensions: Prime ideals and incomparability. II
- Finite normalizing extensions of rings
- Normalizing extensions: Prime ideals and incomparability
- Prime ideals in normalizing extensions
- Normalizing extensions: Nilpotency
- Rings of quotients and Morita contexts
- Prime Ideals in Ring Extensions
- The strongly prime radical of crossed products
- Properties of intermediate extensions
- Intermdiate normalizing extensions
- Chain conditions in intermediate normalizing extensions
- Goldie Conditions in Finite Normalizing Extensions
- Radicals of finite normalizing extensions
- Normal classes of rings and tensor products
- Prime Ideals in Intermediate Extensions
- Subrings of Noetherian Rings
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