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A three-family non-supersymmetric model with U(3)^3 gauge symmetry isanalyzed in the context of intersecting D-branes. This is equivalent to the`trinification' model extended by three U(1) factors which survive as globalsymmetries in the low energy effective model. The Standard Model fermions areaccommodated in the three possible bifundamental multiplets represented bystrings with endpoints attached on different brane-stacks of this particularsetup. Further, a natural Quark-Lepton hierarchy is realized due to theexistence of the additional abelian symmetries

A U(3)_C X U(3)_L X U(3)_R gauge symmetry from intersecting D-branes