On quasi-Prüfer and UM$t$ domains

Abstract

In this note we show that an integral domain $D$ of finite $w$-dimension is a quasi-Prüfer domain if and only if each overring of $D$ is a $w$-Jaffard domain. Similar characterizations of quasi-Prüfer domains are given by replacing $w$-Jaffard domain by $w$-stably strong S-domain, and $w$-strong S-domain. We also give new characterizations of UM$t$ domains.

6 Pages

References in corpus (1)

• Semistar dimension of polynomial rings and Prüfer-like domains