Geodesic
Factor and term ranks for matrix union over semirings
Fundamentalʹnaâ i prikladnaâ matematika, Tome 9 (2003) no. 3, pp. 175-197 
O. A. Pshenitsyna. Factor and term ranks for matrix union over semirings. Fundamentalʹnaâ i prikladnaâ matematika, Tome 9 (2003) no. 3, pp. 175-197. http://geodesic.mathdoc.fr/item/FPM_2003_9_3_a12/
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Voir la notice de l'article provenant de la source Math-Net.Ru

We consider the arithmetic properties of the factor-rank and term-rank functions for matrices over semirings. In particular, we investigate the sets of matrices that satisfy the extremes of inequalities for these rank functions of matrix union. The classification of the linear transformations that keep these sets invariant is obtained.

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