On quasi-Prüfer and UM$t$ domains

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.

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