Artinian property of constants of algebraic \(q\)-skew derivations

DOI10.1007/BF02802507zbMath0979.16021OpenAlexW2000809777MaRDI QIDQ5937680

André Leroy, Jerzy Matczuk, Piotr Grzeszczuk

Publication date: 30 October 2001

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02802507

zbMATH Keywords

automorphismssemiprime ringsArtinian rings\(q\)-skew derivationsalgebraic derivationsfixed ringsrings of constantsskew 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) Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) Derivations, actions of Lie algebras (16W25) Artinian rings and modules (associative rings and algebras) (16P20)

Related Items (6)

Algebraic \(q\)-skew derivations. ⋮ On the composition of \(q\)-skew derivations in Banach algebras ⋮ Higher derivations of Ore extensions by \(q\)-skew derivations. ⋮ Symmetric Utumi quotient rings of Ore extensions by skew derivations ⋮ Quasi-Deformations of 𝔰𝔩₂(𝔽) Using Twisted Derivations ⋮ Derivations and Skew Polynomial Rings

Cites Work

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• Goldie conditions for constants of algebraic derivations of semiprime algebras
• Primitivity in differential operator rings
• On constants of algebraic derivations and fixed points of algebraic automorphisms
• Derivations et automorphismes algebriques d'Anneaux premiers
• Prime ideals in skew and 𝑞-skew polynomial rings
• Primeness, semiprimeness and prime radical of ore extensions
• Invariants of skew derivations
• Constants of algebric derivations

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