RESOLUTIONS OF MONOMIAL ALMOST COMPLETE-INTERSECTIONS AND GENERALIZATIONS

Let S = k[x(1),...,x(n)] be a polynomial ring over a field k and let I be a monomial ideal of S. The main result of this paper is an explicit minimal resolution of k over R = S/I when I is a monomial almost complete intersection ideal of S. We also compute an upper bound on the multigraded resolution of k over a generalization of monomial almost complete intersection rings.