Mori domains whose primary t-ideals are valuation ideals

摘要

We show that if R is a Mori domain, then every height-one primary t-ideal is a valuation ideal if and only if boolean AND(Pis an element ofX1(R)) R-P is a Krull domain where X-1(R) is the set of height-one prime ideals of R. We give examples of non-Krull Mori-domains in which each height-one primary t-ideal is a valuation ideal. References: 7