Geodesic
Linear preservers of extremes of rank inequalities over semirings: term-rank and zero-term-rank
Fundamentalʹnaâ i prikladnaâ matematika, Tome 10 (2004) no. 2, pp. 3-21.

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We characterize linear operators on matrices over semirings that preserve the extremal cases in the bounds on term- and zero-term-ranks of sums and products of matrices. 
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L. B. Beasley; A. È. Guterman; S. Yi. Linear preservers of extremes of rank inequalities over semirings: term-rank and zero-term-rank. Fundamentalʹnaâ i prikladnaâ matematika, Tome 10 (2004) no. 2, pp. 3-21. http://geodesic.mathdoc.fr/item/FPM_2004_10_2_a0/

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