The characterization of operators preserving primitivity for matrix \(k\)-tuples
The authors consider the Cartesian product of \(k\) matrix spaces over an antinegative semiring without zero divisors. They obtain a complete characterization of surjective additive operators acting on such a product space, which preserve primitive matrix \(k\)-tuples. Their technique is based on primitive assignments, cycle matrices, and edge-minimal \(k\)-tuples.
scientific article; zbMATH DE number 5529484
scientific article