Functional identities of degree 2 in triangular rings.

DOI10.1016/j.laa.2012.07.028zbMath1269.16016OpenAlexW2026098815MaRDI QIDQ1932631

Daniel Eremita

Publication date: 21 January 2013

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

Full work available at URL: https://doi.org/10.1016/j.laa.2012.07.028

zbMATH Keywords

functional identitiesnest algebrascommuting mapstriangular matrix ringsgeneralized inner biderivations

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Commutators, derivations, elementary operators, etc. (47B47) Nest algebras, CSL algebras (47L35) Functional identities (associative rings and algebras) (16R60)

Related Items (23)

Commuting traces of upper triangular matrix rings ⋮ Biderivations of triangular rings ⋮ \(n\)-derivations of triangular algebras. ⋮ On functional identities of degree 2 and centralizing maps in triangular rings ⋮ Functional identities of degree 2 in triangular rings revisited ⋮ Centralizing traces and Lie triple isomorphisms on generalized matrix algebras ⋮ Functional identities on upper triangular matrix rings ⋮ Commuting (centralizing) traces and Lie (triple) isomorphisms on triangular algebras revisited. ⋮ Commuting maps on strictly upper triangular matrix rings ⋮ Characterization of Lie biderivations on triangular rings ⋮ Jordan homomorphisms of upper triangular matrix rings. ⋮ Functional identities of degree 2 in rings with idempotents ⋮ Centralizing maps on invertible or singular matrices over division rings. ⋮ Lie derivations of triangular algebras without assuming unity ⋮ Commuting maps on rank k triangular matrices ⋮ Generalized Lie (Jordan) triple derivations on arbitrary triangular algebras ⋮ Functional identities in upper triangular matrix rings revisited ⋮ Lie (Jordan) derivations of arbitrary triangular algebras ⋮ Notes on centralizing traces and Lie triple isomorphisms on triangular algebras ⋮ Centralizing additive maps on rank r block triangular matrices ⋮ Generalized Lie n-derivations of triangular algebras ⋮ Functional identities of degree 2 in arbitrary triangular rings. ⋮ A note on \(f\)-derivations of triangular algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Biderivations of triangular algebras.
• Generalized biderivations of nest algebras
• Commuting traces and commutativity preserving maps on triangular algebras.
• On generalized biderivations and related maps
• Centralizing mappings and derivations in prime rings
• Commuting Maps of Triangular Algebras
• AN APPLICATION OF LOCAL MULTIPLIERS TO CENTRALIZING MAPPINGS OF C^*-ALGEBRAS

This page was built for publication: Functional identities of degree 2 in triangular rings.