$R$ is a integral domain. How can I prove $R[x]$ is integrally closed iff $R$ is integrally closed?
How can I prove R[x] is integrally closed iff R is integrally closed ? (R: integral domain) [closed]
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7$\begingroup$ Hi, this is Exer 4.18 of Eisenbud, there are plenty of hints in the Appendix. $\endgroup$– Hailong DaoCommented Jul 25, 2010 at 6:46
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1$\begingroup$ The way the question is phrased makes it sound like homework. What have you tried so far? Is one of the two directions easier than the other? $\endgroup$– Pete L. ClarkCommented Jul 25, 2010 at 7:00
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