## 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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