We show that conventional asymmetric chiral random matrix models (ChRM
M), with a gaussian distribution in the asymmetry, provide for a scree
ning of the topological charge and a resolution of the U(1) problem in
the unquenched approximation. Our exact results to order 1/N are in a
greement with numerical estimates using large ensembles of asymmetric
ChRMM with gaussian distributions. (C) 1997 Elsevier Science B.V.