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Math Help - integrally closed domain

  1. #1
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    integrally closed domain

    prove that every root closed domain is integrally closed
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  2. #2
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    I want to help but I am not sure what you mean by "root closed domain" and by "integrally closed domain". Here is my understanding, if R is a subsring of a domain D and R is root closed, i.e. every element in R is a zero of some (monic?) polynomial. Then it is integrally closed meaning if d\in D then it is zero of some (monic?) polynomial in R. Right or wrong?
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