GOLDIE DIMENSION OF CONSTANTS OF LOCALLY NILPOTENT SKEW DERIVATIONS

DOI10.1142/S0219498812501058zbMath1270.16016OpenAlexW2020828693MaRDI QIDQ3144371

Jeffrey Bergen, Piotr Grzeszczuk

Publication date: 7 December 2012

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498812501058

zbMATH Keywords

skew polynomial ringsGoldie dimensionrings of constantslocally nilpotent skew derivations

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Derivations, actions of Lie algebras (16W25) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (2)

Jacobson radicals of ring extensions. ⋮ Gelfand-Kirillov dimension of algebras with locally nilpotent derivations.

Cites Work

• Goldie conditions for constants of algebraic derivations of semiprime algebras
• Uniform rank over differential operator rings and Poincaré-Birkhoff- Witt extensions
• Polynomial rings over finite dimensional rings
• On Rings with Locally Nilpotent Skew Derivations
• Goloie dimension of differential operator rings
• Goldie rank of ore extensions

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