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 UMt domains.
2010 Mathematics Subject Classification:
ACKNOWLEDGMENT
I would like to thank the referee for carefully reading the first version of this paper.
This research was in part supported by a grant from IPM (No. 900130059).
Notes
Communicated by S. Bazzoni.