On Strong Mori domains

Abstract

In this note we investigate properties of Strong Mori domains, which form a proper subclass of Mori domains. In particular, we show that Strong Mori domains satisfy the Principal Ideal Theorem, the Hubert Basis Theorem and the Krull Intersection Theorem. We also provide some new characterizations of Krull domains and show that the complete integral closure of a Strong Mori domain is a Krull domain.