## Tag `03QJ`

Chapter 53: Étale Cohomology > Section 53.32: Henselian rings

Lemma 53.32.5. If $R$ is henselian and $A$ is a finite $R$-algebra, then $A$ is a finite product of henselian local rings.

Proof.See Algebra, Lemma 10.148.4. $\square$

The code snippet corresponding to this tag is a part of the file `etale-cohomology.tex` and is located in lines 4150–4154 (see updates for more information).

```
\begin{lemma}
\label{lemma-finite-over-henselian}
If $R$ is henselian and $A$ is a finite $R$-algebra, then $A$ is a finite
product of henselian local rings.
\end{lemma}
\begin{proof}
See
Algebra, Lemma \ref{algebra-lemma-finite-over-henselian}.
\end{proof}
```

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