  We consider some modifications of the two dimensional canonical commutation
relations, leading to {\em non commutative bosons} and we show how biorthogonal
bases of the Hilbert space of the system can be obtained out of them. Our
construction extends those recently introduced by one of us (FB), modifying the
canonical anticommutation relations. We also briefly discuss how bicoherent
states, producing a resolution of the identity, can be defined.
