Invertible commutativity preservers of matrices over max algebra |
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| Authors: | Seok-Zun Song Kyung-Tae Kang Young-Bae Jun |
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| Affiliation: | (1) Department of Mathematics, Cheju National University, Jeju, 690-756, South-Korea;(2) Department of Mathematics, Gyeongsang National University, Chinju, 660-701, South-Korea |
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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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| Keywords: | max algebra linear operator pair of commuting matrices |
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