We investigate the algebraic structure of a recently proposed integrable t-
J model with impurities, Three forms of the Bethe ansatz equations are pres
ented corresponding to the three choices for the grading, We prove that the
Bethe ansatz states are highest weight vectors of the underlying gl(2\1) s
upersymmetry algebra, By acting with the gl(2\1) generators we construct a
complete set of states for the model. (C) 1999 Elsevier Science B.V. All ri
ghts reserved.