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Published in 2021 at "Israel Journal of Mathematics"
DOI: 10.1007/s11856-021-2254-6
Abstract: It is shown that every dp-minimal integral domain $R$ is a local ring and for every non-maximal prime ideal $\mathfrak p $ of $R$, the localization $R_{\mathfrak p }$ is a valuation ring and $\mathfrak{p}R_{\mathfrak{p}}=\mathfrak{p}$.…
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Keywords:
minimal integral;
integral domains;
mathfrak;