## Tag `00GV`

Chapter 10: Commutative Algebra > Section 10.36: Normal rings

Definition 10.36.11. A ring $R$ is called

normalif for every prime $\mathfrak p \subset R$ the localization $R_{\mathfrak p}$ is a normal domain (see Definition 10.36.1).

The code snippet corresponding to this tag is a part of the file `algebra.tex` and is located in lines 7882–7887 (see updates for more information).

```
\begin{definition}
\label{definition-ring-normal}
A ring $R$ is called {\it normal} if for every prime
$\mathfrak p \subset R$ the localization $R_{\mathfrak p}$ is
a normal domain (see Definition \ref{definition-domain-normal}).
\end{definition}
```

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