Kanuni, MügeÖzaydın, Murad2020-04-302020-04-3020190219-49881793-6829https://doi.org/10.1142/S0219498819500865https://hdl.handle.net/20.500.12684/3095Kanuni, Muge/0000-0001-7436-039XWOS: 000469079500007We give the necessary and sufficient condition for a separated Cohn-Leavitt path algebra of a finite digraph to have Invariant Basis Number (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.en10.1142/S0219498819500865info:eu-repo/semantics/closedAccessCohn-Leavitt path algebrainvariant basis numberMorita equivalenceArticle185WOS:000469079500007Q2Q3