The hypercharge U(1){sub {ital Y}} of the standard electroweak model is split into chiral hypercharges U(1){sub {ital L}}{times}U(1){sub {ital R}}. Under the new gauge symmetry SU(2){sub {ital L}}{times}U(1){sub {ital L}}{times}U(1){sub {ital R}}, quarks and leptons are left-handed doublets transforming only under SU(2){sub {ital L}}{times}U(1){sub {ital L}} and right-handed singlets transforming only under U(1){sub {ital R}}. Consistent with the measurements of the mass of the standard massive neutral boson {ital Z}{sup 0} at the SLAC and CERN colliders and the neutral-current couplings involving neutrino beams and electron beams, the additional massive neutral gauge boson can be as light as a few hundred GeV. The model utilizes the generalized see saw mechanism of Gell-Mann, Ramond, and Slansky to give masses to all the fermions of the theory.