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

DOI10.1080/03081087.2012.758258zbMath1296.15013OpenAlexW2312694568MaRDI QIDQ5409950

Ming-Huat Lim, Sin-Chee Tan

Publication date: 15 April 2014

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

Full work available at URL: https://doi.org/10.1080/03081087.2012.758258

zbMATH Keywords

semimodulelinear mappingBoolean symmetric matrixfactor rank preserversterm rank preservers

Mathematics Subject Classification ID

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

Cites Work

• Rank one preservers between spaces of Boolean matrices
• Preservers of term ranks of symmetric matrices
• Boolean-rank-preserving operators and Boolean-rank-1 spaces
• Preserving regular tournaments and term rank-1
• Term-rank, permanent, and rook-polynomial preservers
• Linear preservers of term ranks of matrices over semirings
• Bijective linear maps on semimodules spanned by Boolean matrices of fixed rank

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