Geodesic
Ph.~Hall's theorem on transversals for modules
Fundamentalʹnaâ i prikladnaâ matematika, Tome 5 (1999) no. 1, pp. 119-130.

Voir la notice de l'article provenant de la source Math-Net.Ru

The necessary and sufficient condition for the semisimple module matching is obtained. Also the case of arbitrary modules over associative ring is considered. The proof is based on module theory and matroid theory. 
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A. È. Guterman; E. M. Kreines. Ph.~Hall's theorem on transversals for modules. Fundamentalʹnaâ i prikladnaâ matematika, Tome 5 (1999) no. 1, pp. 119-130. http://geodesic.mathdoc.fr/item/FPM_1999_5_1_a7/