Commuting (centralizing) traces and Lie (triple) isomorphisms on triangular algebras revisited.

DOI10.1016/J.LAA.2015.09.039zbMath1335.16029OpenAlexW2179709042WikidataQ115344474 ScholiaQ115344474MaRDI QIDQ896836

Yu Wang

Publication date: 14 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.laa.2015.09.039

zbMATH Keywords

upper triangular matrix algebrastriangular algebrasnest algebrasbilinear mapscommutativity preserving mapscentralizing tracescommuting tracesLie triple isomorphisms

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms and endomorphisms (16W20) Commutators, derivations, elementary operators, etc. (47B47) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Nest algebras, CSL algebras (47L35) Other algebras built from modules (15A78)

Related Items (7)

Commuting traces of upper triangular matrix rings ⋮ On functional identities of degree 2 and centralizing maps in triangular rings ⋮ 2-Local Lie triple isomorphisms of nest algebras ⋮ Centralizing traces with automorphisms on triangular algebras ⋮ Lie (Jordan) derivations of arbitrary triangular algebras ⋮ A note on Jordan -derivations of triangular algebras ⋮ Centralizing traces and Lie-type isomorphisms on generalized matrix algebras: a new perspective

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