Displaying similar documents to “Linear transformations on matrices: The invariance of generalized permutation matrices, II.”

Invertible commutativity preservers of matrices over max algebra

Seok-Zun Song, Kyung-Tae Kang, Young Bae Jun (2006)

Czechoslovak Mathematical Journal

Similarity:

The max algebra consists of the nonnegative real numbers equipped with two binary operations, maximization and multiplication. We characterize the invertible linear operators that preserve the set of commuting pairs of matrices over a subalgebra of max algebra.