  The superconducting properties of the 2D fermion system with local and
different types of the indirect boson-exchange attractions in the cases of
s-wave and d-wave pairing are reviewed and analysed at T=0. In particular, the
possibility of the crossover from the Bose-Einstein condensation regime to the
BCS-like superconductivity with the carrier density and coupling changing in
the case of different pairing channels is discussed. Gaussian fluctuations of
the order parameter are taken into account and the carrier density dependence
of the gap is studied in this case. The role of the interaction form in the
physical behavior of the systems is also discussed.
