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Fix a typo in algebra
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Thanks to Rankeya
Also addressed a previous comment by Dario Weissmann
https://stacks.math.columbia.edu/tag/0BUF#comment-4890
https://stacks.math.columbia.edu/tag/0BUF#comment-3253
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aisejohan committed Jun 9, 2020
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Showing 1 changed file with 3 additions and 4 deletions.
7 changes: 3 additions & 4 deletions algebra.tex
Expand Up @@ -30777,10 +30777,9 @@ \section{Colimits and maps of finite presentation}

\begin{proof}
The category\footnote{To avoid set theoretical difficulties we
consider only $A' \to A$ such that the underlying set of $A'$
is a subset of a fixed set of sufficiently large cardinality,
for example the power set of $A$.}
$\mathcal{I}$ is nonempty as $R \to A$ is an object of it.
consider only $A' \to A$ such that $A'$ is a quotient of
$R[x_1, x_2, x_3, \ldots]$.}
$\mathcal{I}$ is nonempty as $R \to R$ is an object of it.
Consider a pair of objects $A' \to A$, $A'' \to A$ of $\mathcal{I}$.
Then $A' \otimes_R A'' \to A$ is in
$\mathcal{I}$ (use Lemmas \ref{lemma-compose-finite-type} and
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