Jordan homomorphisms on triangular matrices

DOI10.1080/03081080500054745zbMath1079.16015OpenAlexW2159273007MaRDI QIDQ5693572

Dominik Benkovič

Publication date: 26 September 2005

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

Full work available at URL: https://doi.org/10.1080/03081080500054745

zbMATH Keywords

triangular matrix algebraslinear transformationsJordan derivationsJordan homomorphismsantihomomorphisms

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms and endomorphisms (16W20) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Linear transformations, semilinear transformations (15A04) Derivations, actions of Lie algebras (16W25) Jordan structures associated with other structures (17C50)

Related Items (8)

Jordan homomorphisms of the structural matrix algebras ⋮ Jordan \((\alpha,\beta)\)-derivations on triangular algebras and related mappings. ⋮ Jordan homomorphisms revisited ⋮ Jordan epimorphisms of nest algebras ⋮ Jordan homomorphisms of upper triangular matrix rings over a prime ring. ⋮ Additivity of Jordan maps on triangular algebras ⋮ Jordan isomorphisms of finitary incidence algebras ⋮ Jordan isomorphisms of skew incidence rings

Cites Work

• Jordan isomorphisms of triangular matrix algebras over a connected commutative ring
• Jordan derivations and antiderivations on triangular matrices
• Symmetric amenability and the nonexistence of Lie and Jordan derivations

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