Using the CLEO II detector at the Cornell Electron Storage Ring, we ha
ve searched for flavor changing neutral currents and lepton family num
ber violations in D-0 meson decays. The upper limits on the branching
fractions for D-0 --> l(+)l(-) and D-0 --> X(0)l(+)l(-) are in the ran
ge 10(-5) to 10(-4), where X(0) can be a pi(0), K-s(0), eta, rho(0), o
mega, (K) over bar(0) or phi meson, and the l(+)l(-) pair can be e(+)
e(-), mu(+)mu(-), or e(+/-)mu(-/+). Although these limits are above th
e theoretical predictions, most are new or an order of magnitude lower
than previous limits.