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

zbMATH Keywords

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

Mathematics Subject Classification ID

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)

Computing the symmetric ring of quotients ⋮ Centred bimodules over prime rings: Closed submodules and applications to ring extensions ⋮ Prime ideals in restricted differential operator rings ⋮ Differential rings and ore extensions: Brown-McCoy rings ⋮ A note on intermediate normalising extensions ⋮ Closed and prime ideals in free centred extensions ⋮ Normalizing extensions: Prime ideals and incomparability. II ⋮ Finite subnormalizing extensions of rings

Cites Work

• Unnamed Item
• 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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