What happened to my question asking about the following question? It seems to be deleted. Why if that is the case?
Let $A$ be the ring of algebraic integers in a finite dimensional algebraic number field $K$. Let $B$ be an algebra of finite type over $A$ without zero divisors. Let $L$ be the field of fractions of $B$. Let $C$ be the integral closure of $B$ in a finite extension $M$ of $L$.
Is $C$ Noetherian?