Krull rings, Prufer v-multiplication rings and the ring of finite fractions

This paper deals with extending the notions of Krull domains and PvMDs to rings with zero divisors. Two of the problems to be addressed involve characterizing when the Nagata ring R(x) will be a Krull ring and when it will be a PvMR. For both problems, the characterizations require consideration of how the ring in question sits in its associated ring of finite fractions.