This is probably a stupid question.(adsbygoogle = window.adsbygoogle || []).push({});

Let R be a domain, K its field of fractions, L a finite (say) extension of K, and S the integral closure of R in L.

Is the quotient field of S equal to L ?

I believe that not, but I have no counter-example.

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# Quotient field of the integral closure of a ring

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