A remark on the Jacobson property of PI Ore extensions

DOI10.1007/BF01189886zbMath0819.16024OpenAlexW2060856273MaRDI QIDQ1337790

A. Ouarit

Publication date: 13 November 1994

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01189886

zbMATH Keywords

skew polynomial ringsderivationsGoldie dimensionJacobson ringsOre extensions\(\delta\)-prime idealsfinite uniform rankJacobson conditionNoetherian polynomial identity rings

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Derivations, actions of Lie algebras (16W25) Rings of differential operators (associative algebraic aspects) (16S32) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Ore rings, multiplicative sets, Ore localization (16U20) Noetherian rings and modules (associative rings and algebras) (16P40) Localization and associative Noetherian rings (16P50)

Cites Work

• Primitivity in differential operator rings
• Finite Extensions of Rings
• Extensions de ore d'anneaux noetheriens á i.p
• Noetherian Ore Extensions and Jacobson Rings

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