We show that an R-parity violating supersymmetric scenario which can accoun
t For the atmospheric nu (mu) deficit has testable signals at the Fermilab
Tevatron with upgraded energy and luminosity. The explanation of neutrino m
asses and maximal nu (mu)-nu (tau), oscillation in terms of bilinear R-viol
ating terms in the superpotential associates comparable numbers of muons an
d tau's resulting from decays of the lightest neutralino. We show that this
should lead to like-sign dimuons and ditaus with substantial rates, in a f
orm that separates them from standard model backgrounds and other signals o
f supersymmetry. One here also has the possibility of completely reconstruc
ting the lightest neutralino. (C) 2000 Published by Elsevier Science B.V.