We give a construction of creation operators responsible for appearance of
Bethe vectors with the same eigenvalues of the transfer-matrix for the
inhomogeneous arbitrary spin XXZ model at roots of unity with particular
quasiperiodic boundary conditions. This construction generalizes the similar
one, recently obtained by K.Fabricius and B.M.McCoy, for the homogeneous
six-vertex model with periodic boundary conditions. Even in the last case, the
given proof for the main formulae are simpler than the original one.