COMMUNICATIONS IN ALGEBRA, vol.27, no.10, pp.4737-4741, 1999 (SCI-Expanded)
The main result in this paper is that the projective dimension of the nth order universal module of the coordinate ring of the product of a reduced hypersurface and an affine t-space is finite. This question appears in [1]. We have seen this by showing that projective dimension of the nth order universal module of the ring corresponding to a reduced hypersurface is finite. At the end we present some examples related to projective dimension of the universal modules of the product of variaties.