Noetherian Ring Extensions with Trace Conditions

DOI10.2307/2154017zbMath0763.16009OpenAlexW4249668801MaRDI QIDQ3993863

Robert B. jun. Warfield

Publication date: 13 August 1992

Full work available at URL: https://doi.org/10.2307/2154017

zbMATH Keywords

prime idealslinkKrull dimensionNoetherian ringssecond layer conditionJacobson ringsbondstrace idealsNoetherian \(R\)-\(S\)-bimodule

Mathematics Subject Classification ID

Bimodules in associative algebras (16D20) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Ideals in associative algebras (16D25) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (2)

Standard prime ideals and lying over for finite extensions of Noetherian algebras ⋮ Unnamed Item

Cites Work

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• The influence of ideal structure on representation theory
• Fixed rings of finite automorphism groups of associative rings
• Noetherian bimodules, primary decomposition, and Jacobson's conjecture
• Affiliated series and extensions of modules
• Prime ideals in finite extensions of Noetherian rings
• BIMODULES OVER A SOLVABLE ALGEBRAIC LIE ALGEBRA
• A Rank Two Indecomposable Projective Module over a Noetherian Domain of Krull Dimension One
• Primitive Ideals in Finite Extensions of Noetherian Rings
• Finite Extensions of Rings
• Shorter Notes: Artinian Ideals in Noetherian Rings
• Normalizing extensions and injective modules, essentially bounded normalizing extensions
• Bond Invariance of G-Rings and Localization

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