Generalized Jordan derivations on triangular matrix algebras

DOI10.1080/03081080601127374zbMath1125.15019OpenAlexW2089985474MaRDI QIDQ3439832

Fei Ma, Guo Xing Ji

Publication date: 18 May 2007

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

Full work available at URL: https://doi.org/10.1080/03081080601127374

zbMATH Keywords

triangular matrix algebrageneralized Jordan derivationantiderivation

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Algebraic systems of matrices (15A30) Derivations, actions of Lie algebras (16W25)

Related Items (12)

Jordan triple derivations on \(\mathcal J\)-subspace lattice algebras ⋮ Jordan \((\alpha,\beta)\)-derivations on triangular algebras and related mappings. ⋮ Jordan Generalized n-derivations of Unital Algebras Containing Idempotents ⋮ Multiplicative generalized Lie n-derivations on completely distributive commutative subspace lattice algebras ⋮ Nonlinear generalized semi-Jordan triple derivable mappings on completely distributive commutative subspace lattice algebras ⋮ Generalized Lie derivations on triangular algebras. ⋮ Strong commutativity preserving generalized derivations on right ideals. ⋮ Unnamed Item ⋮ ON GENERALIZED JORDAN DERIVATIONS OF GENERALIZED MATRIX ALGEBRAS ⋮ Additivity of Jordan maps on triangular algebras ⋮ Generalized Jordan derivation on nest algebras ⋮ Jordan generalized derivations on triangular algebras

Cites Work

• Jordan mappings of semiprime rings
• Jordan derivations and antiderivations on triangular matrices
• Local derivations
• Rank one preserving \(\mathbb R\)-linear maps on spaces of self-adjoint operators on complex Hilbert spaces
• Symmetric amenability and the nonexistence of Lie and Jordan derivations
• Linear preservers on upper triangular operator matrix algebras

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