Generic Flatness and the Jacobson Conjecture

DOI10.1080/00927870500261462zbMath1112.16040OpenAlexW2105539336MaRDI QIDQ5478660

Amy F. Szczepánski

Publication date: 13 July 2006

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

Full work available at URL: https://doi.org/10.1080/00927870500261462

zbMATH Keywords

Jacobson ringsNoetherian algebrasfiltered algebrasassociated graded ringsJacobson conjecturegeneric flatness

Mathematics Subject Classification ID

Jacobson radical, quasimultiplication (16N20) Noetherian rings and modules (associative rings and algebras) (16P40) Filtered associative rings; filtrational and graded techniques (16W70)

Cites Work

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• Polynomial extensions of Jacobson rings
• Rings with Auslander dualizing complexes
• Exercises in classical ring theory
• Generic flatness for strongly Noetherian algebras
• A counter-example in ring theory and homological algebra
• Left principal ideal domains
• Hilbert rings and the Hilbert Nullstellensatz
• Jacobsonsche Ringe, Hilbertscher Nullstellensatz, Dimensionstheorie
• Relative krull dimension and prime ideals in right noetherian rings
• Growth of graded noetherian rings
• Algebras without noetherian filtrations
• A COUNTEREXAMPLE IN NOETHERIAN RINGS
• The Radical and Semi-Simplicity for Arbitrary Rings

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