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Article

Song, Seok-Zun ; Kang, Kyung-Tae ; Jun, Young-Bae
Invertible commutativity preservers of matrices over max algebra. (English). Czechoslovak Mathematical Journal, vol. 56 (2006), issue 4, pp. 1185-1192
MSC: 15A03, 15A04, 15A27, 15A33 | MR 2280802 | Zbl 1164.15303
Keywords:
max algebra; linear operator; pair of commuting matrices
Summary:
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.
References:
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