  The content of a polynomial $f(t)$ is the ideal generated by its
coefficients. Our aim here is to consider a beautiful formula of
Dedekind-Mertens on the content of the product of two polynomials, to explain
some of its features from the point of view of Cohen-Macaulay algebras and to
apply it to obtain some Noether normalizations of certain toric rings.
Furthermore, the structure of the primary decomposition of generic products is
given and some extensions to joins of toric rings are considered.
