  The space of marked commutative rings on n given generators is a compact
metrizable space. We compute the Cantor-Bendixson rank of any member of this
space. For instance, the Cantor-Bendixson rank of the free commutative ring on
n generators is omega^n, where omega is the smallest infinite ordinal. More
generally, we work in the space of finitely generated modules over a given
commutative ring.
