  R-parity violation in the supersymmetric standard model can be the source of
neutrino masses and mixing. We analyze the neutrino mass matrix coming from
either bilinear or trilinear R-parity violation and its collider signatures,
assuming that the atmospheric and solar neutrino data are explained by three
active neutrino oscillations. Taking the gauge mediated supersymmetry breaking
mechanism, we show that the lightest neutralino decays well inside the detector
and the model could be tested by observing its branching ratios in the future
colliders. In the bilinear model where only the small solar neutrino mixing
angle can be accommodated, the relation, $10^3$ BR($\nu e^\pm \tau^\mp$) $\sim$
BR($\nu \mu^\pm \tau^\mp$) $\approx$ BR($\nu \tau^\pm \tau^\mp$), serves as a
robust test of the model. The large mixing angle solution can be realized in
the trilinear model which predicts BR($\nu e^\pm \tau^\mp$) $\sim$ BR($\nu
\mu^\pm \tau^\mp$) $\sim$ BR($\nu \tau^\pm \tau^\mp$). In either case, the
relation, BR($e jj$) $\ll$ BR($\mu jj$) $\sim$ BR($\tau jj$), should hold to be
consistent with the atmospheric neutrino and CHOOZ experiments.
