Journal of the
Korean Mathematical Society JKMS

The spanning column rank of an $m \times n$ matrix $A$ over a semiring is the minimal number of columns that span all columns of $A$. We characterize linear operators that preserve the sets of matrix pairs which satisfy additive properties with respect to spanning column rank of matrices over semirings.

Keywords: spanning column rank, $(P,Q,B)$-operator, $(U,V)$-operator, rank inequality

MSC numbers: Primary 15A03, 15A04, 15A45