Nonlinear Lie higher derivations on triangular algebras

DOI10.1080/03081087.2011.639373zbMath1272.16040OpenAlexW2097719678WikidataQ115299770 ScholiaQ115299770MaRDI QIDQ5200333

Feng Wei, Zhan Kui Xiao

Publication date: 5 November 2012

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2011.639373

zbMATH Keywords

triangular algebrasadditive higher derivationsnonlinear higher Lie derivations

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Commutators, derivations, elementary operators, etc. (47B47) Derivations, actions of Lie algebras (16W25) Nest algebras, CSL algebras (47L35) Other algebras built from modules (15A78)

Related Items (15)

Lie higher derivations of incidence algebras ⋮ Multiplicative Lie \(n\)-derivations of generalized matrix algebras. ⋮ Multiplicative Jordan type higher derivations of unital rings with non trivial idempotents ⋮ Nonlinear mappings on full matrices derivable at zero point ⋮ Nonlinear \(*\)-Lie derivations on unital algebras ⋮ Characterizations of Lie triple derivations on generalized matrix algebras ⋮ Nonlinear generalized Lie triple higher derivation on triangular algebras ⋮ Nonlinear mappings on upper triangular matrices derivable at zero point ⋮ Multiplicative ∗-Jordan type higher derivations on von Neumann algebras ⋮ Multiplicative *-Lie type higher derivations of standard operator algebras ⋮ Unnamed Item ⋮ Multiplicative ∗-lie triple higher derivations of standard operator algebras ⋮ On Lie higher derivable mappings on prime rings. ⋮ Nonlinear Lie triple higher derivation on triangular algebras ⋮ Multiplicative generalized Lie triple derivations on generalized matrix algebras

Cites Work

• Higher derivations of triangular algebras and its generalizations.
• Nonlinear Lie derivations of triangular algebras.
• Derivations of upper triangular matrix rings
• Automorphisms and derivations of upper triangular matrix rings
• Lie triple derivations of nest algebras
• Lie derivations of von Neumann algebras
• Lie derivations of primitive rings
• Higher Derivations and a Theorem By Herstein
• Commuting Maps of Triangular Algebras
• Nonlinear Lie derivations on upper triangular matrices
• Commuting Traces of Biadditive Mappings, Commutativity-Preserving Mappings and Lie Mappings
• Lie Derivations of Triangular Algebras
• HIGHER DERIVATIONS OF SEMIPRIME RINGS
• Lie triple derivations on nest algebras
• Higher derivations and automorphisms of complete local rings

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