The Mori Property in Rings with Zero Divisors, II

A commutative ring R is said to be a Mori ring if it satisfies the ascending chain condition on regular divisorial ideals. Contrary to what happens in Mori domains, examples exist which show if P is a prime ideal of a Mori ring R, then RP need not be a Mori ring. However, if the total quotient ring of R is von Neumann regular, then it is the case that RP is Mori whenever R is Mori. In fact, when the total quotient ring is von Neumann regular, then R is a Mori ring if and only if RP is a Mori ring for each maximal t-ideal P and each regular nonunit of R is contained in at most finitely many maximal t-ideals.