Characterizations of Boolean rank preservers over Boolean matrices (Q2878114)
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scientific article; zbMATH DE number 6335568
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characterizations of Boolean rank preservers over Boolean matrices |
scientific article; zbMATH DE number 6335568 |
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28 August 2014
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Boolean rank
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linear operator
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Boolean matrix
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Characterizations of Boolean rank preservers over Boolean matrices (English)
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The Boolean rank of a nonzero \(m\times n\) Boolean matrix \(A\) is the least integer \(k\) such that there are \(m\times k\) Boolean matrix \(B\) and a \(k\times n\) Boolean matrix \(C\) with \(A=BC\). In the present paper the authors extend a result of \textit{L. B. Beasley} and \textit{N. J. Pullman} [Linear Algebra Appl. 59, 55--77 (1984; Zbl 0536.20044)] of linear operators that preserve the Boolean ranks of Boolean matrices.
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