On quasi-Prüfer and UM$t$ domains

Details On quasi-Prüfer and UM$t$ domains On quasi-Prüfer and UM$t$ domains

2011-09-25

arxiv.org/abs/1109.5330v1

Mathematics

Commutative Algebra

6 Pages

Scientific paper

In this note we show that an integral domain $D$ of finite $w$-dimension is a
quasi-Pr\"{u}fer domain if and only if each overring of $D$ is a $w$-Jaffard
domain. Similar characterizations of quasi-Pr\"{u}fer 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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