Lie derivations on triangular matrices

DOI10.1080/03081080701379107zbMath1129.16024OpenAlexW2046930064WikidataQ115300030 ScholiaQ115300030MaRDI QIDQ5426986

Dominik Benkovič

Publication date: 16 November 2007

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

Full work available at URL: https://doi.org/10.1080/03081080701379107

zbMATH Keywords

bimodulesLie derivationsinner derivationsupper triangular matrix rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Derivations, actions of Lie algebras (16W25)

Related Items

Lie triple and Jordan derivable mappings on nest algebras, Characterizations of additive (generalized) ξ-Lie (α, β) derivations on triangular algebras, Lie derivations of incidence algebras, Grothendieck and Whitehead groups of formal matrix rings, Characterizations of nonlinear Lie derivations of \(B(X)\), Commuting mappings of generalized matrix algebras, Centralizing traces and Lie triple isomorphisms on generalized matrix algebras, Jordan \((\alpha,\beta)\)-derivations on triangular algebras and related mappings., Lie-type derivations of finitary incidence algebras, Multiplicative Lie \(n\)-derivations of generalized matrix algebras., Generalized Lie derivations on triangular algebras., Generalized Lie derivations on skew elements of prime algebras with involution., Local derivations of finitary incidence algebras, Lie derivations of triangular algebras without assuming unity, Jordan derivations and Lie derivations on path algebras, Semi-centralizing maps of generalized matrix algebras, Lie \(n\)-derivations of unital algebras with idempotents., Lie (Jordan) derivations of arbitrary triangular algebras, On the Lie derivations and generalized Lie derivations of quaternion rings, Lie derivable maps on \(B(X)\), On generalized Lie derivations of Lie ideals of prime algebras., Centralizing traces and Lie triple isomorphisms on triangular algebras, Unnamed Item, Lie generalized derivations on bound quiver algebras

Cites Work

• Derivations of upper triangular matrix rings
• On Herstein's Lie map conjectures. III
• Jordan derivations and antiderivations on triangular matrices
• Automorphisms and derivations of upper triangular matrix rings
• Lie derivations on Banach algebras
• Lie derivations of von Neumann algebras
• Lie derivations of primitive rings
• Commuting Traces of Biadditive Mappings, Commutativity-Preserving Mappings and Lie Mappings
• Continuity of Lie derivations on Banach algebras
• Lie Derivations of Triangular Algebras
• Symmetric amenability and Lie derivations
• Symmetric amenability and the nonexistence of Lie and Jordan derivations
• On Herstein's Lie map conjectures. II