  Searches for R-parity violating supersymmetry with the D0 detector at the
Fermilab Tevatron ppbar-collider are presented. In the case of non-zero LLE
couplings lambda_ijk>=0.01, multi-lepton final states, and for a small coupling
lambda_122<<0.01 di-muon final states are studied. The case of non-zero LQD
coupling lambda'_211 leads to final states with two muons and jets. A total
integrated luminosity of 0.38 fb-1 collected between April 2002 and August 2004
is utilized. The observed numbers of events are in agreement with the Standard
Model expectation, and limits on RPV supersymmetry are derived, extending
significantly previous bounds.
