  Much work has been done on generalized factorization techniques in integral
domains, namely $\tau$-factorization. There has also been substantial progress
made in investigating factorization in commutative rings with zero-divisors.
This paper seeks to synthesize work done in these two areas and extend the
notion of $\tau$-factorization to commutative rings that need not be domains.
In addition, we look into particular types of $\tau$ relations, which are
interesting when there are zero-divisors present. We then proceed to classify
commutative rings that satisfy the finite factorization properties given in
this paper.
