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Add "if"
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aisejohan committed May 3, 2016
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Expand Up @@ -243,7 +243,7 @@ \section{Noncomplete completion}
$$
is in $\mathfrak m'$ but not in $\mathfrak m R^\wedge$ which
shows that (1) is false in this example. Note that we do have
$\mathfrak m R^\wedge \subset \mathfrak m'$. Hence, $R^\wedge$
$\mathfrak m R^\wedge \subset \mathfrak m'$. Hence, if $R^\wedge$
is not $\mathfrak m$-adically complete as an $R$-module, then it is also not
$\mathfrak m'$-adically complete. To show that $R^\wedge$ is not
$\mathfrak m$-adically complete (as an $R$-module)
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