Term rank preservers of Boolean matrices |
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Authors: | Kyung-Tae Kang |
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Institution: | Department of Mathematics , Jeju National University , Jeju 690-756 , Korea |
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Abstract: | We obtain some characterizations of linear operators that preserve the term rank of Boolean matrices. That is, a linear operator over Boolean matrices preserves the term rank if and only if it preserves the term ranks 1 and k(≠1) if and only if it preserves the term ranks 2 and l(≠2). Other characterizations of term rank preservers are given. |
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Keywords: | Boolean matrix term rank Boolean linear operator dominate |
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