Lie derivations on trivial extension algebras

DOI10.1515/AMSIL-2016-0017zbMath1383.16042arXiv1504.05924OpenAlexW2962770683MaRDI QIDQ2404720

Fahimeh Moafian, Amir Hosein Mokhtari, Hamid Reza Ebrahimi Vishki

Publication date: 20 September 2017

Published in: Annales Mathematicae Silesianae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.05924

zbMATH Keywords

derivationtriangular algebraLie derivationtrivial extension algebra

Mathematics Subject Classification ID

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

Related Items (12)

Unnamed Item ⋮ Lie triple derivations on trivial extension algebras ⋮ Lie derivations on trivial extension algebras ⋮ Derivations and the first cohomology group of trivial extension algebras ⋮ Commuting mappings on the Hochschild extension of an algebra ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Jordan centralizer maps on trivial extension algebras ⋮ On generalized Lie derivations ⋮ Lie generalized derivations on trivial extension algebras ⋮ Poisson derivations and the first Poisson cohomology group on trivial extension algebras ⋮ Lie generalized derivations on bound quiver algebras

Cites Work

• Jordan derivations on trivial extensions
• Characterizations of Lie derivations of triangular algebras.
• Lie derivations of generalized matrix algebras.
• Lie \(n\)-derivations of unital algebras with idempotents.
• Lie derivations on trivial extension algebras
• Lie derivations of primitive rings
• JORDAN HIGHER DERIVATIONS ON TRIVIAL EXTENSION ALGEBRAS
• Lie triple derivations of unital algebras with idempotents
• Weak amenability of module extensions of Banach algebras
• Algebraic and strong splittings of extensions of Banach algebras
• Lie Derivations of Triangular Algebras
• Lie higher derivations on triangular algebras revisited

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