Skew derivations with algebraic invariants of bounded degree.

DOI10.1016/J.JALGEBRA.2015.10.006zbMath1333.16039OpenAlexW2170843845MaRDI QIDQ897774

Jeffrey Bergen, Piotr Grzeszczuk

Publication date: 7 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2015.10.006

zbMATH Keywords

semiprime ringsBanach algebras\(q\)-skew derivationssemiprime algebrasalgebraic elements

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Commutators, derivations, elementary operators, etc. (47B47) Linear operators on Banach algebras (47B48) Derivations, actions of Lie algebras (16W25) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

Cites Work

• Unnamed Item
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• Invariants of \(U_q(\text{sl}(2))\) and \(q\)-skew derivations
• Skew derivations whose invariants satisfy a polynomial identity
• Invariants of algebraic derivations and automorphisms in Banach algebras
• Centralizers in semisimple algebras, and descent spectrum in Banach algebras
• Derivations et automorphismes algebriques d'Anneaux premiers
• Locally Finite Banach Algebras
• THE PRIME RADICAL OF CONSTANTS OF ALGEBRAICq-SKEW DERIVATIONS
• Shorter Notes: The Nilpotency of Banach Nil Algebras
• Centralizers in rings

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