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Term rank preservers of Boolean matrices
Authors:Kyung-Tae Kang
Institution:Department of Mathematics , Jeju National University , Jeju 690-756 , Korea
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.
Keywords:Boolean matrix  term rank  Boolean linear operator  dominate
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