Geodesic
Generation of modules and transcendence degree of zero-cycles
Izvestiya. Mathematics , Tome 77 (2013) no. 4, pp. 696-699.

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

We construct an example of a regular algebra over $\mathbb C$ of dimension $d$ and a projective module of rank $r$ over this algebra which is not generated by $d+r-1$ elements. This strengthens Swan's well-known example over the field of real numbers.
Keywords: modules over rings, Chow groups. 
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S. O. Gorchinskiy. Generation of modules and transcendence degree of zero-cycles. Izvestiya. Mathematics , Tome 77 (2013) no. 4, pp. 696-699. http://geodesic.mathdoc.fr/item/IM2_2013_77_4_a3/

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