Geodesic
Monotone linear transformations on matrices over semirings
Fundamentalʹnaâ i prikladnaâ matematika, Tome 21 (2016) no. 1, pp. 105-122

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We characterize linear transformations on matrices over commutative antinegative semirings that are monotone with respect to minus, star, and sharp partial orders. 
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A. E. Guterman; E. M. Kreines; Qing-Wen Wang. Monotone linear transformations on matrices over semirings. Fundamentalʹnaâ i prikladnaâ matematika, Tome 21 (2016) no. 1, pp. 105-122. http://geodesic.mathdoc.fr/item/FPM_2016_21_1_a9/