 Nagata theorem for divisor class groups (source code)

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= Nagata theorem for divisor class groups
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If $A$ is a Noetherian normal domain and $S$ is a multiplicative set, then $\operatorname{Cl}(S^{-1}A)$ is the quotient of $\operatorname{Cl}(A)$ by the classes of height-one primes meeting $S$. Tracking the units of $S^{-1}A$ determines the relations among those prime divisors.

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