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Let $(R,m)$ be a regular local ring of dimension three and $I$ be an ideal of $R$. Is $\bar{I^{n+1}}=I^n\bar{I}$ for all positive integer $n$? where $\bar{I}$ is integral closure of $I$.

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  • $\begingroup$ It is known that the following question is true for regular local ring of dimension 2. $\endgroup$ – Amir Mafi Sep 7 '16 at 10:18

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