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A note on strong locally divided domains. (English) Zbl 0754.13018
The author gives a uniform simple proof for the following assertion. Let $$R$$ be an integral domain such that each overring of $$R$$ is a pseudovaluation domain (resp., divided domain, going-down domain, locally pseudovaluation domain, locally divided domain). Then $$R/P$$ has the same property for each prime ideal $$P$$ of $$R$$.

##### MSC:
 13G05 Integral domains 13B02 Extension theory of commutative rings
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