  We construct a free resolution of $R/I^s$ over $R$ where $I\ideal R$ is
generated by a (finite or infinite) regular sequence. This generalizes the
Koszul complex for the case $s=1$. For $s>1$, we easily deduce that the algebra
structure of $\Tor^R_*(R/I,R/I^s)$ is trivial and the reduction map $R/I^s\lra
R/I^{s-1}$ induces the trivial map of algebras.
