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Slogan by Herman Rohrbach and jojo
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aisejohan committed Apr 1, 2015
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Expand Up @@ -9794,6 +9794,9 @@ \section{Perfect fields}

\begin{lemma}
\label{lemma-perfection}
\begin{reference}
Every field has a unique perfect closure.
\end{reference}
For every field $k$ there exists a purely inseparable extension
$k \subset k'$ such that $k'$ is perfect. The field extension
$k \subset k'$ is unique up to unique isomorphism.
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