  We find two different q-generalizations of Yang-Mills theories. The
corresponding lagrangians are invariant under the q-analogue of infinitesimal
gauge transformations. We explicitly give the lagrangian and the transformation
rules for the bicovariant q-deformation of $SU(2) \times U(1)$. The gauge
potentials satisfy q-commutations, as one expects from the differential
geometry of quantum groups. However, in one of the two schemes we present, the
field strengths do commute.
