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I have the subring of $\mathbb Z[x]$ with $f(1/2)$ always an integer. I have to check if it has ACCP (Ascending Chain Condition on Principal ideals) property or not.

Any help would be greatly appreciated.

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    I think you want to say "the subring of $\mathbb Q[x]$". If this is the case then the answer is negative.2013-12-31

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