  We study generic representations of general linear groups over a finite ring
R with coefficients in a field k in which the cardinality of R is invertible,
that is functors from finitely-generated projective R-modules to k-vector
spaces. We obtain especially a classification of such simple representations,
what allows to prove a conjecture of Djament-Touz{\'e}-Vespa on dimensions
taken by such a functor.
