  In this talk we discuss the implications of the Minimal Supersymmetric
Standard Model augmented by a single U(1) anomalous family symmetry for
neutrino masses and mixing angles. The left-handed neutrino states are provided
with Majorana masses through a dimension-five operator in the absence of right
handed neutrino components. Assuming symmetric lepton mass matrices, the model
predicts inverse hierarchical neutrino mass spectrum, theta_13=0 and large
mixing while at the same time it provides acceptable mass matrices for the
charged fermions.
