diff --git a/morphisms.tex b/morphisms.tex index db2c3b7f4..7e4d947c1 100644 --- a/morphisms.tex +++ b/morphisms.tex @@ -10598,7 +10598,7 @@ \section{Universal homeomorphisms of affine schemes} \medskip\noindent Continuing, we see that $B$ is integral over $B'$ (Algebra, Lemma \ref{algebra-lemma-integral-permanence}) -which implies $\Spec(B') \to \Spec(B)$ is surjective +which implies $\Spec(B) \to \Spec(B')$ is surjective (Algebra, Lemma \ref{algebra-lemma-integral-overring-surjective}). Thus if $A \to B$ induces purely inseparable extensions of residue fields, then the same is true for $A \to B'$. This proves the case