  Stanley-Reisner rings of Buchsbaum* complexes are studied by means of their
quotients modulo a linear system of parameters. The socle of these quotients is
computed. Extending a recent result by Novik and Swartz for orientable homology
manifolds without boundary, it is shown that modulo a part of their socle these
quotients are level algebras. This provides new restrictions on the face
vectors of Buchsbaum* complexes.
