  We give the necessary and sufficient condition for a separated Cohn-Leavitt
path algebra of a finite digraph to have IBN. As a consequence, separated Cohn
path algebras have IBN. We determine the non-stable K-theory of a corner ring
in terms of the non-stable K-theory of the ambient ring. We give a necessary
condition for a corner algebra of a separated Cohn-Leavitt path algebra of a
finite graph to have IBN. We provide Morita equivalent rings which are non-IBN,
but are of different types.
