Multiplicative Lie derivations on triangular n-matrix rings

DOI10.1080/03081087.2020.1757603zbMath1497.16043OpenAlexW3018625732WikidataQ115299036 ScholiaQ115299036MaRDI QIDQ5073023

Hui-Min Chen, Xiao Fei Qi

Publication date: 5 May 2022

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

Full work available at URL: https://doi.org/10.1080/03081087.2020.1757603

zbMATH Keywords

derivationsLie derivationstriangular ringstriangular \(n\)-matrix rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Derivations, actions of Lie algebras (16W25)

Related Items (3)

Nonadditive commuting mappings on triangular n-matrix rings ⋮ Multiplicative anti-derivations of generalized n-matrix rings ⋮ Multiplicative Lie triple derivation of triangular 3-matrix rings

Cites Work

• Additivity of multiplicative maps on triangular rings.
• Nonlinear Lie derivations of triangular algebras.
• The structure of Lie derivations on \(C^{\ast}\)-algebras
• Multiplicative mappings of operator algebras
• Lie derivations of generalized matrix algebras.
• Characterization of Lie derivations on von Neumann algebras
• Lie derivations on Banach algebras
• Characterization of Lie multiplicative derivation on alternative rings
• The structure of nonlinear Lie derivation on von Neumann algebras
• Additivity of Lie multiplicative maps on triangular algebras
• The Additivity of Multiplicative Maps on Rings
• Nonlinear Lie derivations on upper triangular matrices
• Lie Derivations of Triangular Algebras
• Multiplicative Lie-type derivations on alternative rings
• Lie n-multiplicative mapping on Triangular n-Matrix Rings
• When are Multiplicative Mappings Additive?
• Symmetric amenability and the nonexistence of Lie and Jordan derivations
• On Lie derivations of Lie ideals of prime algebras

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