Linear/additive preservers of ranks 2 and 4 on alternate matrix spaces over fields

DOI10.1016/j.laa.2004.06.001zbMath1059.15010OpenAlexW1969304006MaRDI QIDQ1887491

Xian Zhang

Publication date: 26 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.laa.2004.06.001

zbMATH Keywords

linear transformationlinear preserverrankskew-symmetric matrixadditive preserveralternate matrix

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Linear transformations, semilinear transformations (15A04) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items

Additive mappings on symmetric matrices, Additive mappings that do not increase minimal rank of alternate matrices, Geometry of Alternate Matrices over Bezout Domains

Cites Work

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• Automorphisms of the Field of Complex Numbers