Let $B$ be a finitely generated $A$ algebra, both domains. Is the integral closure of $A$ in $B$ a finite $A$ module?
I think we can show that the integral closure is again a finitely generated $A$ algebra. But I couldn’t prove it.
Let $B$ be a finitely generated $A$ algebra, both domains. Is the integral closure of $A$ in $B$ a finite $A$ module?
I think we can show that the integral closure is again a finitely generated $A$ algebra. But I couldn’t prove it.
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