Jacobson rings with a polynomial identity

DOI10.1080/00927878808823593zbMath0639.16008OpenAlexW1983425392MaRDI QIDQ3781233

Hyeng Keun Koo, Jae Keol Park, Efraim P. Armendariz

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1080/00927878808823593

zbMATH Keywords

Jacobson ringsgeneric matrix ringsgroup rings satisfying a polynomial identity

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Group rings (16S34) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Associative rings and algebras with additional structure (16W99) Rings with polynomial identity (16Rxx)

Cites Work

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• Group rings which are Jacobson rings
• Prime ideals in PI-rings
• Polynomial extensions of Jacobson rings
• Integral extensions of rings satisfying a polynomial identity
• Finite extensions are integral
• Existence of identities in \(A \otimes B\)
• Jacobsonsche Ringe, Hilbertscher Nullstellensatz, Dimensionstheorie
• Properties of normalizing extensions and fixed rings
• Dimension de krull et codeviation. Application au theoreme d'eakin