Invertible commutativity preservers of matrices over max algebra

Author： Song Seok-Zun   Kang Kyung-Tae   Jun Young-Bae  

Publisher： Springer Publishing Company

ISSN： 0011-4642

Source： Czechoslovak Mathematical Journal, Vol.56, Iss.4, 2006-12, pp. : 1185-1192

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Abstract

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.

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