Rank one preservers between spaces of Boolean matrices

DOI10.1016/j.laa.2010.09.019zbMath1214.15020OpenAlexW2090188387MaRDI QIDQ616292

Sin-Chee Tan, Ming-Huat Lim

Publication date: 7 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.09.019

zbMATH Keywords

tensor productBoolean matrixBoolean vector spacerank one preserver

Mathematics Subject Classification ID

Boolean algebras (Boolean rings) (06E99) Multilinear algebra, tensor calculus (15A69) Vector spaces, linear dependence, rank, lineability (15A03) Linear preserver problems (15A86) Boolean and Hadamard matrices (15B34)

Related Items (2)

Semimodules and preservers of traceless symmetric Boolean matrices of factor rank two ⋮ Bijective linear maps on semimodules spanned by Boolean matrices of fixed rank

Cites Work

• Boolean-rank-preserving operators and Boolean-rank-1 spaces
• Separability of distinct Boolean rank-1 matrices
• Transformations on tensor spaces
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