Definition 10.161.1 (032F)—The Stacks project

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[Chapter 0, Definition 23.1.1, EGA]

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 $L/K$ of fields the integral closure of $R$ in $L$ is finite over $R$ .

Comments (2)

Comment #2747 by Ariyan Javanpeykar on August 02, 2017 at 00:11

A reference for this definition: EGA IV_0, Definition 23.1.1

Comment #2862 by Johan on October 04, 2017 at 17:42

Thanks. Added reference here

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