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With the help of the factorizing $F$-matrix, the scalar products of the$U_q(gl(1|1))$ free fermion model are represented by determinants. By means ofthese results, we obtain the determinant representations of correlationfunctions of the model.Comment: Latex File, 20 pages, V.3: some discussions are added, V.4 Reference  update, this version will appear in J. Math. Phy

Determinant representation of correlation functions for the Uq(gl(1∣1)) free Fermion model