Lie triple derivations on trivial extension algebras

DOI10.1007/S41980-021-00618-3OpenAlexW3187199650MaRDI QIDQ2169276

Mohammad Ashraf, Mohd Shuaib Akhtar, Mohammad Afajal Ansari

Publication date: 2 September 2022

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-021-00618-3

zbMATH Keywords

derivationLie derivationLie triple derivationtrivial extension algebra

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Derivations, actions of Lie algebras (16W25) Other algebras built from modules (15A78)

Related Items (3)

Multiplicative Lie-type derivations on standard operator algebras ⋮ \( \sigma \)-centralizers of triangular algebras ⋮ Characterization of Lie-type higher derivations of triangular rings

Cites Work

• Lie triple derivations of triangular algebras.
• Derivations and the first cohomology group of trivial extension algebras
• Lie derivations of generalized matrix algebras.
• Generalized Lie (Jordan) triple derivations on arbitrary triangular algebras
• Lie generalized derivations on trivial extension algebras
• Lie derivations on trivial extension algebras
• Lie triple derivations of nest algebras
• Lie derivations of von Neumann algebras
• Lie derivations of primitive rings
• Lie triple derivations of unital algebras with idempotents
• Nonlinear Lie triple derivations of triangular algebras
• CHARACTERIZATIONS OF LIE HIGHER AND LIE TRIPLE DERIVATIONS ON TRIANGULAR ALGEBRAS
• Lie Triple Derivations of Von Neumann Algebras
• Lie Derivations of Triangular Algebras
• Nonlinear generalized Lie triple derivation on triangular algebras
• Characterizations of Lie triple derivations on generalized matrix algebras
• LIE TRIPLE DERIVATIONS ON FACTOR VON NEUMANN ALGEBRAS
• Lie triple derivations on nest algebras

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