  We have constructed a one dimensional exactly solvable model, which is based
on the t-J model of strongly correlated electrons, but which has additional
quantum group symmetry, ensuring the degeneration of states. We use Bethe
Ansatz technique to investigate this model. The thermodynamic limit of the
model is considered and equations for different density functions written down.
These equations demonstrate that the additional colour degrees of freedom of
the model behave as in a gauge theory, namely an arbitrary distribution of
colour indices over particles leave invariant the energy of the ground state
and the excitations. The $S$-matrix of the model is shown to be the product of
the ordinary $t-J$ model $S$-matrix and the unity matrix in the colour space.
