Jordan σ-derivations of triangular algebras

DOI10.1080/03081087.2015.1027646zbMath1342.16038OpenAlexW2420456197MaRDI QIDQ2789409

Dominik Benkovič

Publication date: 29 February 2016

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

Full work available at URL: https://doi.org/10.1080/03081087.2015.1027646

zbMATH Keywords

idempotentstriangular matrix algebrastriangular algebrasnest algebrasJordan generalized derivationsJordan \(\sigma\)-derivations

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Commutators, derivations, elementary operators, etc. (47B47) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Derivations, actions of Lie algebras (16W25) Nest algebras, CSL algebras (47L35) Other algebras built from modules (15A78)

Related Items (6)

Ternary mappings of triangular algebras ⋮ Lie σ-derivations of triangular algebras ⋮ \( \sigma \)-centralizers of triangular algebras ⋮ Centralizing traces with automorphisms on triangular algebras ⋮ A note on Jordan -derivations of triangular algebras ⋮ Jordan derivations of alternative rings

Cites Work

• Jordan derivations of unital algebras with idempotents.
• Jordan \((\alpha,\beta)\)-derivations on triangular algebras and related mappings.
• Automorphism groups of generalized triangular matrix rings.
• Jordan derivations of triangular algebras
• A note on algebra automorphisms of triangular matrices over commutative rings
• Automorphisms of upper triangular matrix rings
• Commuting traces and commutativity preserving maps on triangular algebras.
• Automorphisms and derivations of upper triangular matrix rings
• Characterizations of additive (generalized) ξ-Lie (α, β) derivations on triangular algebras

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