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This is probably a stupid question.
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.
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.