Minimal quasi-algebraic relations of skew derivations in characteristic \(p\geq 2\)

DOI10.1016/j.jalgebra.2019.01.017zbMath1415.16038OpenAlexW2911450869MaRDI QIDQ1730189

Chen-Lian Chuang

Publication date: 11 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2019.01.017

zbMATH Keywords

automorphismskew polynomial ringdifferential identityskew derivationprime ringOre extensionMartindale quotient ringcv-polynomialsemi-invariant polynomial

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Derivations, actions of Lie algebras (16W25)

Cites Work

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• Nonlinear identities with skew derivations
• Identities with a single skew derivation.
• On the structure of semi-invariant polynomials in Ore extensions.
• Differential identities of prime rings
• Differential identities of semiprime rings
• The extended centroid and \(X\)-inner automorphisms of Ore extensions
• Generalized identities with automorphisms
• Theory of non-commutative polynomials
• Algebraic \(q\)-skew derivations.
• Identities with skew derivations
• Prime rings satisfying a generalized polynomial identity
• Derivations in Simple Rings
• Skew derivations of prime rings
• Prime ideals in skew and 𝑞-skew polynomial rings
• Automorphisms of ore extensions by skew derivations

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