Find the quotient field of and the integral closure of in . ( )
Last edited by mr fantastic; Mar 21st 2011 at 02:32 AM. Reason: Title.
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Originally Posted by KaKa Find the quotient field of and the integral closure of in . ( ) It is easy to see that K=Q(i). Now, is integral over ? Think about . Can you see that the integral closure of in is simply ? .
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