Additive preservers of rank on alternate matrix spaces over fields and applications

DOI10.1016/j.laa.2004.11.006zbMath1088.15005OpenAlexW1978599007MaRDI QIDQ1774979

Xian Zhang

Publication date: 4 May 2005

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

Full work available at URL: https://doi.org/10.1016/j.laa.2004.11.006

zbMATH Keywords

additive preserveralternate matricesrank-additivitynon-associative ringrank-subtractivity

Mathematics Subject Classification ID

Linear transformations, semilinear transformations (15A04) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items

Additive rank-1 preservers between spaces of Hermitian matrices, Geometry of Alternate Matrices over Bezout Domains, Rank one preserving \(\mathbb R\)-linear maps on spaces of self-adjoint operators on complex Hilbert spaces, Additive rank-one preservers on block triangular matrix spaces, Diameter preserving surjection on alternate matrices

Cites Work

• Additive preservers of rank-additivity on the spaces of symmetric and alternate matrices.
• Some general techniques on linear preserver problems
• Sur une généralisation du groupe orthogonal à quatre variables
• Linear preservers of matrices of rank-2
• Linear Preserver Problems
• Linear Transformations on Algebras of Matrices
• Linear preservers of rank-sum-maximum, rank, rank-subtractivity, and rank-sum-minimum on symmetric matrices
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