Communications of the
Korean Mathematical Society CKMS

The maximal column rank of an $m\times n$ matrix $A$ over the ring of integers, is the maximal number of the columns of $A$ that are weakly independent. We characterize the linear operators that preserve the maximal column ranks of integer matrices.

Keywords: maximal column rank, linear operator, absolute permutation matrix.

MSC numbers: Primary 15A03, 15A04, 15A36