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Linear operators that preserve maximal column ranks of nonnegative integer matrices. (English) Zbl 0896.15009

Author’s abstract: The maximal column rank of an \(m\times n\) matrix over a semiring is the maximal number of the columns of \(A\) which are linearly independent. We characterize the linear operators which preserve the maximal column ranks of nonnegative integer matrices.

MSC:

15B36 Matrices of integers
15A04 Linear transformations, semilinear transformations
15A03 Vector spaces, linear dependence, rank, lineability
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