Projective dimension of the universal modules for the product of a hypersurface and affine t-space

Abstract

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-spa.ee 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.

Keywords:

• Universal Module
• Differential Operator
• Projective Dimension

AMS Subject Classification:

• Primary 13N05