  We have searched for the violation of baryon number B and lepton number L in
the (B-L)-conserving modes tau- -> anti-Lambda0 pi- and tau- -> anti-Lambda0 K-
as well as the (B-L)-violating modes tau- -> Lambda0 pi- and tau- -> Lambda0 K-
using 237 inv. fb of data collected with the BABAR detector at the PEP-II
asymmetric-energy e+e- storage ring. We do not observe any signal and determine
preliminary upper limits on the branching fractions B(tau- -> anti-Lambda0 pi-)
< 5.9 x 10^-8, B(tau- -> Lambda0 pi-) < 5.8 x 10^-8, B(tau- -> anti-Lambda0 K-)
< 7.2 x 10^-8, and B(tau- -> Lambda0 K-) < 15 x 10^-8 at 90% confidence level.
