Multiplicative Lie \(n\)-derivations of generalized matrix algebras.

DOI10.1016/j.laa.2012.10.052zbMath1272.16039OpenAlexW2023589254WikidataQ115344622 ScholiaQ115344622MaRDI QIDQ1938715

Yu Wang, Yao Wang

Publication date: 22 February 2013

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

Full work available at URL: https://doi.org/10.1016/j.laa.2012.10.052

zbMATH Keywords

full matrix algebrasgeneralized matrix algebrasadditive derivationsnonlinear Lie \(n\)-derivations

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Commutators, derivations, elementary operators, etc. (47B47) Derivations, actions of Lie algebras (16W25) Other algebras built from modules (15A78)

Related Items (32)

Multiplicative generalized Lie \(n\)-derivations of unital rings with idempotents ⋮ On nonlinear Lie centralizers of generalized matrix algebras ⋮ Generalized Lie derivations of unital algebras with idempotents ⋮ Lie \(n\) superderivations and generalized Lie \(n\) superderivations of superalgebras ⋮ 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 ⋮ Multiplicative Lie-type derivations on rings ⋮ Nonlinear generalized Lie n-derivations on triangular 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. ⋮ Nonlinear generalized Lie \(n\)-derivations on von Neumann algebras ⋮ Unnamed Item ⋮ Some generalizations of \(\ast\)-Lie derivable mappings and their characterization on standard operator algebras ⋮ Multiplicative Lie-type derivations on standard operator algebras ⋮ Multiplicative generalized Lie n-derivations on completely distributive commutative subspace lattice algebras ⋮ A study on generalized matrix algebras having generalized Lie derivations ⋮ Lie centralizers and commutant preserving maps on generalized matrix algebras ⋮ Characterizations of Lie triple derivations on generalized matrix algebras ⋮ Nonlinear derivations of incidence algebras ⋮ Generalized Jordan \(n\)-derivations of unital algebras with idempotents ⋮ Lie \(n\)-derivations of unital algebras with idempotents. ⋮ Notes on centralizing traces and Lie triple isomorphisms on triangular algebras ⋮ Lie n-derivations of incidence algebras ⋮ Nonlinear Lie derivations of incidence algebras ⋮ Centralizing traces and Lie-type isomorphisms on generalized matrix algebras: a new perspective ⋮ Centralizing traces and Lie triple isomorphisms on triangular algebras ⋮ Characterizing Lien-derivations for reflexive algebras ⋮ Multiplicative generalized Lie triple derivations on generalized matrix algebras

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