Posner's second theorem and annihilator conditions with generalized skew derivations

DOI10.4064/CM129-1-4zbMath1270.16033OpenAlexW2330110689MaRDI QIDQ4899807

Feng Wei, Vincenzo De Filippis

Publication date: 9 January 2013

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm129-1-4

zbMATH Keywords

prime ringscommutator identitiesadditive mapsgeneralized skew derivationsmultilinear polynomials

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)

Related Items (7)

Centralizers of generalized skew derivations on multilinear polynomials ⋮ \(b\)-generalized skew derivations on multilinear polynomials in prime rings ⋮ \(X\)-generalized skew derivations with annihilating and centralizing conditions in prime rings ⋮ Identities with generalized skew derivations on Lie ideals. ⋮ Generalized skew-derivations annihilating and centralizing on multilinear polynomials in prime rings ⋮ A note on generalized skew-derivations on multilinear polynomials in prime rings ⋮ Posner’s second theorem and some related annihilating conditions on lie ideals

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