  There are a large number of theorems detailing the homological properties of
the Stanley--Reisner ring of a simplicial complex. Here we attempt to
generalize some of these results to the case of a simplicial poset. By
investigating the combinatorics of certain modules associated with the face
ring of a simplicial poset from a topological viewpoint, we extend some results
of Miyazaki and Gr\"abe to a wider setting.
