Geodesic
Invertible commutativity preservers of matrices over max algebra
Czechoslovak Mathematical Journal, Tome 56 (2006) no. 4, pp. 1185-1192

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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.
Classification : 15A03, 15A04, 15A27, 15A33
Keywords: max algebra; linear operator; pair of commuting matrices 
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     title = {Invertible commutativity preservers of matrices over max algebra},
     journal = {Czechoslovak Mathematical Journal},
     pages = {1185--1192},
     publisher = {mathdoc},
     volume = {56},
     number = {4},
     year = {2006},
     mrnumber = {2280802},
     zbl = {1164.15303},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2006__56_4_a7/}
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Song, Seok-Zun; Kang, Kyung-Tae; Jun, Young-Bae. Invertible commutativity preservers of matrices over max algebra. Czechoslovak Mathematical Journal, Tome 56 (2006) no. 4, pp. 1185-1192. http://geodesic.mathdoc.fr/item/CMJ_2006__56_4_a7/