The ground-state solutions of the Hubbard model are studied. A two-sublattice formalism is developed in order to allow ferromagnetic, ferrimagnetic, and antiferromagnetic solutions. The electronic structure is solved within the Bethe-lattice method and the size of the local moments on each sublattice are determinated in a self-consistent manner. We find that, for various values of the Coulomb repulsion $(U)$ and as a function of the number of electrons $(n)$, the ground state of the system may be that of a Pauli paramagnet, a ferromagnet, a ferrimagnet, or an antiferromagnet. It is also found that over a large region of the $U\ensuremath{-}n$ phase diagram the ferrimagnetic state has a lower energy than the short-range-order phase reported by other authors.