I address here the question of the mutual interplay of strong correlations
and disorder in the system. I consider random version of the Hubbard model.
Diagonal randomness is introduced via random on-site energies and treated
by the coherent potential approximation. Strong, short ranged, electron ele
ctron interactions are described by the slave boson technique and found to
induce additional disorder in the system. As an example I calculate the den
sity of states of the random interacting binary alloy and compare it with t
hat for non-interacting system.