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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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