Bijective linear maps on semimodules spanned by Boolean matrices of fixed rank

DOI10.1016/j.laa.2010.05.019zbMath1203.15017OpenAlexW2066387200WikidataQ114152398 ScholiaQ114152398MaRDI QIDQ5962288

Sin-Chee Tan, Ming-Huat Lim

Publication date: 21 September 2010

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.05.019

zbMATH Keywords

bijective linear mappingBoolean matrixrank preserversemimodules

Mathematics Subject Classification ID

Linear transformations, semilinear transformations (15A04) Vector spaces, linear dependence, rank, lineability (15A03) Linear preserver problems (15A86) Boolean and Hadamard matrices (15B34)

Related Items (1)

Semimodules and preservers of traceless symmetric Boolean matrices of factor rank two

Cites Work

• Rank one preservers between spaces of Boolean matrices
• Transformations on tensor product spaces
• Boolean-rank-preserving operators and Boolean-rank-1 spaces
• Transformations on tensor spaces
• Chapter 2:rank and tensor rank
• Linear operators on matrices: The invariance of rank-k matrices
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