Skew derivations whose invariants satisfy a polynomial identity

DOI10.1006/jabr.2000.8297zbMath0957.16023OpenAlexW1989406677MaRDI QIDQ1570374

Jeffrey Bergen, Piotr Grzeszczuk

Publication date: 17 October 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.2000.8297

zbMATH Keywords

prime algebrasinvariantsautomorphismsskew derivationspolynomial identitiesadditive maps

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) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)

Related Items (10)

THE PRIME RADICAL OF CONSTANTS OF ALGEBRAICq-SKEW DERIVATIONS ⋮ Locally nilpotent skew derivations with central invariants ⋮ On the Jacobson radical of constants of derivations. ⋮ Skew derivations with algebraic invariants of bounded degree. ⋮ Constants of Algebraic Derivations in Prime Rings ⋮ Algebraic derivations with constants satisfying a polynomial identity. ⋮ Kernel Inclusions of Algebraic Automorphisms ⋮ Invariants of algebraic derivations and automorphisms in Banach algebras ⋮ \(q\)-skew derivations and polynomial identities. ⋮ Quasi-Deformations of 𝔰𝔩₂(𝔽) Using Twisted Derivations

Cites Work

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• General polynomial identities. II
• Rings with an integral element whose centralizer satisfies a polynomial identity
• Invariants of \(U_q(\text{sl}(2))\) and \(q\)-skew derivations
• Infinite Crossed Products and Group-Graded Rings
• Group graded rings
• Actions of Commutative Hopf Algebras
• Derivations et automorphismes algebriques d'Anneaux premiers
• Algebras with a separable subalgebra whose centralizer satisfies a polynomial identity
• ALGEBRAIC AUTOMORPHISMS AND $ PI$-ALGEBRAS
• Skew Derivations with Central Invariants
• Invariants of skew derivations

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