Characterizations of additive \(\xi \)-Lie derivations on unital algebras

DOI10.1007/s11253-021-01941-yzbMath1497.16042OpenAlexW3169501804MaRDI QIDQ2057633

Yanyan Li

Publication date: 7 December 2021

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-021-01941-y

zbMATH Keywords

\(\xi \)-Lie derivation

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Derivations, actions of Lie algebras (16W25)

Cites Work

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• Characterization of Lie derivations on von Neumann algebras
• Characterization of (generalized) Lie derivations on \(\mathcal{J}\)-subspace lattice algebras by local action
• Lie triple derivations of unital algebras with idempotents
• Commutativity up to a factor of bounded operators in complex Hilbert space
• Characterizations of Lie derivations of factor von Neumann algebras
• Characterization of additive maps $\xi$-Lie derivable at zero on von Neumann Algebras
• Characterizations of additive (generalized) ξ-Lie (α, β) derivations on triangular algebras
• Characterizing Lie derivations on triangular algebras by local actions

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