  We demonstrate the stability of a spin-triplet paired s-wave (with an
admixture of extended s-wave) state for the case of purely repulsive
interactions in a degenerate two-band Hubbard model. We further show that near
half-filling the considered kind of superconductivity can coexist with
antiferromagnetism. The calculations have been carried out with the use of the
so-called statistically consistent Gutzwiller approximation for the case of a
square lattice. The absence of a stable paired state when analyzed in the
Hartree-Fock-BCS approximation allows us to claim that the electron
correlations in conjunction with the Hund's rule exchange play the crucial role
in stabilizing the spin-triplet superconducting state. A sizable hybridization
of the bands suppresses the paired state.
