A note on \(k\)-potence preserving maps

DOI10.1016/j.laa.2008.04.035zbMath1151.15006OpenAlexW2151748518MaRDI QIDQ947621

Xiaofei Song, Chong Guang Cao

Publication date: 6 October 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.04.035

zbMATH Keywords

injective\(k\)-potent matrixpreserving

Mathematics Subject Classification ID

Linear transformations, semilinear transformations (15A04)

Related Items

Maps on infinite triangular matrices preserving idempotents ⋮ Maps on upper-triangular matrix algebras preserving \(k\)-potences ⋮ A note on \(k\)-potence preservers on matrix spaces over complex field ⋮ Maps on \({\mathcal B}({\mathcal H})\) preserving involution

Cites Work

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• \(k\)-potence preserving maps without the linearity and surjectivity assumptions
• Maps on matrix algebras preserving idempotents
• Idempotence-preserving maps without the linearity and surjectivity assumptions
• Hua's fundamental theorems of the geometry of matrices and related results
• Linear Preserver Problems
• Linear Transformations Preserving Potent Matrices

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