Definition 10.161.1. Let $R$ be a domain with field of fractions $K$.

We say $R$ is

*N-1*if the integral closure of $R$ in $K$ is a finite $R$-module.We say $R$ is

*N-2*or*Japanese*if for any finite extension $K \subset L$ of fields the integral closure of $R$ in $L$ is finite over $R$.

## Comments (2)

Comment #2747 by Ariyan Javanpeykar on

Comment #2862 by Johan on

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