On maps preserving Lie products equal to e11 - e22

DOI10.1080/03081087.2019.1688229zbMath1478.15005OpenAlexW2989384178WikidataQ115299179 ScholiaQ115299179MaRDI QIDQ4959331

Hayden Julius

Publication date: 13 September 2021

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

Full work available at URL: https://doi.org/10.1080/03081087.2019.1688229

zbMATH Keywords

linear preserversLie productcommutativity preserving maps

Mathematics Subject Classification ID

Linear transformations, semilinear transformations (15A04) Linear preserver problems (15A86)

Related Items (4)

On maps preserving products equal to fixed elements ⋮ Fixed product preserving mappings on Banach algebras ⋮ Linear maps preserving products equal to primitive idempotents of an incidence algebra ⋮ On maps preserving square roots of idempotent and rank-one nilpotent matrices

Cites Work

• Linear maps that preserve commuting pairs of matrices
• Commutativity-preserving maps on Lie ideals of prime algebras.
• On maps preserving Lie products equal to a rank-one nilpotent

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