Abstract
A uniform proof is given for the following five assertions. Let $R$ be an integral domain such each overring of $R$ is a pseudovaluation domain (resp., divided domain; resp., going-down domain; resp., locally pseudovaluation domain; resp., locally divided domain). Then $R/P$ has the same property, for each prime ideal $P$ of $R$. The assertion for pseudovaluation domains was proved recently by Okabe-Yoshida by other methods.
Citation
David E. Dobbs. "A note on strong locally divided domains." Tsukuba J. Math. 15 (1) 215 - 217, June 1991. https://doi.org/10.21099/tkbjm/1496161583
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