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A quantum algebra invariant integrable closed spin 1 chain is introduced andanalysed in detail. The Bethe ansatz equations as well as the energyeigenvalues of the model are obtained. The highest weight property of the Bethevectors with respect to U_q(sl(2)) is proved.Comment: 13 pages, LaTeX, to appear in J. Math. Phy

Bethe ansatz solution of a closed spin 1 XXZ Heisenberg chain with quantum algebra symmetry