  For the purpose of constructing supersymmetric(SUSY) theories on lattice, we
propose a new type relation on lattice -cyclic Leibniz rule(CLR)- which is
slightly different from an ordinary Leibniz rule. Actually, we find that CLR
can enlarge the number of SUSYs and construct more Nicolai mappings in a
quantum-mechanical model. In this model, the exact mass degeneracy between
fermion and boson is shown.
