Discussiones
Mathematicae General Algebra and Applications 20(2) (2000) 255-265
DOI: https://doi.org/10.7151/dmgaa.1021
LINEAR OPERATORS PRESERVING MAXIMAL COLUMN RANKS OF NONBINARY BOOLEAN MATRICES
Seok-Zun Song and Sung-Dae Yang Department of Mathematics, Cheju National University |
Sung-Min Hong, Young-Bae Jun and Seon-Jeong Kim Department of Mathematics, Gyeongsang National
University |
Abstract
The maximal column rank of an m by n matrix is the maximal number of the columns of A which are linearly independent. We compare the maximal column rank with rank of matrices over a nonbinary Boolean algebra. We also characterize the linear operators which preserve the maximal column ranks of matrices over nonbinary Boolean algebra.
Keywords: Boolean matrix, semiring, linear operator on matrices, congruence operator on matrices, maximal column rank of a matrix, Boolean rank of a matrix.
1991 Mathematics Subject Classification: 16Y60, 15A03, 15A04, 06E05.
References
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Received 21 December 1999
Revised 20 June 2000
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