Let R = K[X1,X2,…,XN], where K is an algebraically closed field of characteristic 0 and consider the reduced, affine hypersurface algebra with an isolated singularity , where FϵK[X1,X2,…,XN]. For such algebras A the torsion (sub) modules of (Kaehler) differentials and are finite dimensional. Unlike in the case of a quasi-homogeneous hypersurface is not always cyclic even if some permutation of is an R-sequence. The main result of this paper proves that for reduced hypersurfaces with only isolated singularities . We give an example of a reduced plane curve with a single isolated singularity at the origin such that the partial derivatives of F do not form an R-sequence.