  In the large variety of models such as 3D and 2D Fermi-gas model with
hard-core repulsion, 3D and 2D Hubbard model, and Shubin-Vonsovsky model we
demonstrate the possibility of triplrt p-wave pairing at low electron density.
We show that the critical temperature of the p-wave pairing can be strongly
increased in a spin-polarized case or in a two-band situation already at low
density and reach experimentally observable values of (1-5)K. We also discuss
briefly d-wave pairing and high-Tc superconductivity with Tc~100K which arises
in the t-J model in the range of parameters realistic for cuprates.
