  Majorana properties of neutrinos have long been a focus in the pursuit of
possible new physics beyond the standard model, which has motivated lots of
dedicated theoretical and experimental studies. A future same-sign muon
collider is an ideal platform to search for Majorana neutrinos through the
Lepton Number Violation process. Specifically, this t-channel kind of process
is less kinematically suppressed and has a good advantage in probing Majorana
neutrinos at high mass regions up to 10 TeV. In this paper, we perform a
detailed fast Monte Carlo simulation study through examining three different
final states: 1) pure-leptonic state with electrons or muons, 2) semi-leptonic
state, and 3) pure-hadronic state in the resolved or merged categories.
Furthermore, we perform a full simulation study on the pure-leptonic final
state to validate our fast simulation results.
