Multiplicative Lie \(n\)-derivations of triangular rings.

DOI10.1016/J.LAA.2012.01.022zbMath1247.16040OpenAlexW1989976638WikidataQ115344714 ScholiaQ115344714MaRDI QIDQ414704

Daniel Eremita, Dominik Benkovič

Publication date: 11 May 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.2012.01.022

zbMATH Keywords

Lie derivationsnest algebrastriangular ringsLie triple derivationmultiplicative Lie \(n\)-derivationsupper triangular matrix rings

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) Functional identities (associative rings and algebras) (16R60) Other algebras built from modules (15A78)

Related Items (53)

Multiplicative generalized Lie \(n\)-derivations of unital rings with idempotents ⋮ Nonlinear Jordan derivations of finitary incidence algebras ⋮ Generalized Lie derivations of unital algebras with idempotents ⋮ Lie \(n\) superderivations and generalized Lie \(n\) superderivations of superalgebras ⋮ Characterizations of Lie-type derivations of triangular algebras with local actions ⋮ \(m\)-derivations of Lie algebras of polynomial vector fields ⋮ Lie \(n\)-derivations on \( {\mathcal {J}}\)-subspace lattice algebras ⋮ Multiplicative Lie-type derivations on rings ⋮ \(\ast\)-Lie-Jordan-type maps on \(C^\ast\)-algebras ⋮ Nonlinear generalized Lie n-derivations on triangular algebras ⋮ Triple derivations on parabolic subalgebras of Kac-Moody 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 ⋮ Multiplicative Lie-type derivations on standard operator algebras ⋮ Generalized Lie \(n\)-derivations on arbitrary triangular algebras ⋮ Jordan Generalized n-derivations of Unital Algebras Containing Idempotents ⋮ Characterization of Lie-type higher derivations of triangular rings ⋮ Commuting (centralizing) traces and Lie (triple) isomorphisms on triangular algebras revisited. ⋮ Multiplicative Lie \(n\)-derivations of generalized matrix algebras. ⋮ Multiplicative generalized Lie n-derivations on completely distributive commutative subspace lattice algebras ⋮ Jordan homomorphisms of upper triangular matrix rings. ⋮ LIE -HIGHER DERIVATIONS AND LIE -HIGHER DERIVABLE MAPPINGS ⋮ Lie triple derivations of triangular algebras. ⋮ Multiplicative Lie-type derivations on alternative rings ⋮ Unnamed Item ⋮ Nonlinear derivations of incidence algebras ⋮ Jordan derivations and Lie derivations on path algebras ⋮ Nonlinear Jordan derivations of incidence algebras ⋮ Centralizing traces with automorphisms on triangular algebras ⋮ Integrations on rings ⋮ Lie \(n\)-derivations of unital algebras with idempotents. ⋮ Unnamed Item ⋮ Lie (Jordan) derivations of arbitrary triangular algebras ⋮ Jordan automorphism of Morita context algebras ⋮ Notes on centralizing traces and Lie triple isomorphisms on triangular algebras ⋮ Nonlinear Lie triple higher derivation 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 ⋮ Lie triple derivations of incidence algebras ⋮ Centralizing traces and Lie triple isomorphisms on triangular algebras ⋮ Characterizing Lien-derivations for reflexive algebras ⋮ Generalized Lie-type derivations of alternative algebras ⋮ Generalized Lie n-derivations of triangular algebras ⋮ Nonlinear Lie derivations of incidence algebras of finite rank ⋮ \(n\)-derivations and \((n,m)\)-derivations of lattices ⋮ Lie generalized derivations on bound quiver algebras ⋮ A note on \(f\)-derivations of triangular algebras ⋮ Lie triple higher derivable maps on rings

Cites Work

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• Higher derivations of triangular algebras and its generalizations.
• Jordan \((\alpha,\beta)\)-derivations on triangular algebras and related mappings.
• Generalized Lie derivations on triangular algebras.
• Biderivations of triangular algebras.
• Jordan derivations of triangular algebras
• Jordan higher derivations on triangular algebras
• Nonlinear Lie derivations of triangular algebras.
• Commuting traces and commutativity preserving maps on triangular algebras.
• Lie derivations on Banach algebras
• Lie triple derivations of TUHF algebras
• Lie triple derivations of nest algebras
• Lie derivations of primitive rings
• Commuting Maps of Triangular Algebras
• Derivations in Prime Rings
• Commuting Traces of Biadditive Mappings, Commutativity-Preserving Mappings and Lie Mappings
• Lie Triple Derivations of Von Neumann Algebras
• Lie Derivations of Triangular Algebras
• Commuting Traces of Biadditive Maps Revisited
• Derivations of triangular Banach algebras
• Lie triple derivations on nest algebras
• Jordan isomorphisms of triangular rings

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