# The Stacks Project

## Tag 033I

Definition 27.7.1. A scheme $X$ is normal if and only if for all $x \in X$ the local ring $\mathcal{O}_{X, x}$ is a normal domain.

The code snippet corresponding to this tag is a part of the file properties.tex and is located in lines 759–763 (see updates for more information).

\begin{definition}
\label{definition-normal}
A scheme $X$ is {\it normal} if and only if for all $x \in X$ the local ring
$\mathcal{O}_{X, x}$ is a normal domain.
\end{definition}

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