Lie derivations of generalized matrix algebras.

DOI10.1016/J.LAA.2012.06.013zbMath1266.16046OpenAlexW2061043356WikidataQ115344643 ScholiaQ115344643MaRDI QIDQ1758471

Yu Wang, Yiqiu Du

Publication date: 9 November 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2012.06.013

zbMATH Keywords

Lie derivationstriangular algebrasgeneralized matrix algebras

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 (34)

Multiplicative generalized Lie \(n\)-derivations of unital rings with idempotents ⋮ Lie maps on triangular algebras without assuming unity ⋮ Generalized Lie derivations of unital algebras with idempotents ⋮ Multiplicative Lie higher derivations of unital algebras with idempotents ⋮ Generalized Lie triple derivations on generalized matrix algebras ⋮ Characterizations of Lie-type derivations of triangular algebras with local actions ⋮ Lie derivations of incidence algebras ⋮ Multiplicative Lie derivations on triangular n-matrix rings ⋮ Lie triple derivations on trivial extension algebras ⋮ Lie derivations on trivial extension algebras ⋮ Lie triple derivations of unital algebras with idempotents ⋮ Characterizations of Lie n-derivations of unital algebras with nontrivial idempotents ⋮ Centralizing traces and Lie triple isomorphisms on generalized matrix algebras ⋮ Lie-type derivations of finitary incidence algebras ⋮ Biderivations of generalized matrix algebras. ⋮ Multiplicative Lie-type derivations on standard operator algebras ⋮ Characterization of Lie-type higher derivations of triangular rings ⋮ Multiplicative Lie \(n\)-derivations of generalized matrix algebras. ⋮ Homological properties of some types of generalized matrix Banach algebras ⋮ Lie derivable maps on nest algebras ⋮ Lie centralizers and commutant preserving maps on generalized matrix algebras ⋮ LIE -HIGHER DERIVATIONS AND LIE -HIGHER DERIVABLE MAPPINGS ⋮ Unnamed Item ⋮ Characterizations of Lie triple derivations on generalized matrix algebras ⋮ Lie \(n\)-derivations of unital algebras with idempotents. ⋮ On the Lie derivations and generalized Lie derivations of quaternion rings ⋮ On local Lie derivations of generalized matrix algebras ⋮ Unnamed Item ⋮ Lie (Jordan) centralizers on generalized matrix algebras ⋮ Centralizing traces and Lie-type isomorphisms on generalized matrix algebras: a new perspective ⋮ Centralizing traces and Lie triple isomorphisms on triangular algebras ⋮ Unnamed Item ⋮ Centralizers of Lie structure of triangular algebras ⋮ Lie generalized derivations on trivial extension algebras

Cites Work

• Characterizations of Lie derivations of triangular algebras.
• Commuting mappings of generalized matrix algebras
• Semi-centralizing maps of generalized matrix algebras
• Characterizations of Lie derivations of \(B(X)\)
• Commuting traces and commutativity preserving maps on triangular algebras.
• Lie derivations on Banach algebras
• Radicals and Morita contexts
• Commuting Maps of Triangular Algebras
• Lie Derivations of Triangular Algebras
• On Herstein's Lie map conjectures. II
• On Lie derivations of Lie ideals of prime algebras
• Unnamed Item
• Unnamed Item

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