  With the improvement of muon acceleration technology, it has received great
interest to exploit high-energy muon beams for collision or target experiments.
We investigate possible charged Lepton Flavor Violation (cLFV) processes
mediated by an extra massive neutral gauge boson Zprime in electron muon
interactions, either at a proposed electron muon collider or in a fixed target
experiment with high-energy muon beam hitting electrons in the target. Based on
Monte Carlo calculations and fast detector simulations, we study in detail our
signal and possible backgrounds, giving the sensitivity results of cLFV signals
at the 90% confidence level. Compared with current and prospective limits set
by other experiments, electron muon interactions demonstrate significant
advantages in the cLFV coupling strength sensitivity with tau in the final
states. In addition, a special cLFV coupling combination, lambda_emu *
lambda_mumu, can also be probed in our proposal.
