replace ker
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@ -37,7 +37,6 @@
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\newcommand{\Vp}{\ensuremath V_{\mathbb{P}}}%\Spec}}
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\newcommand{\Pn}{\bP^n}%\Spec}}
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\DeclareMathOperator{\Ker}{Ker}
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\DeclareMathOperator{\nil}{\mathfrak{nil}}
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\usetikzlibrary{arrows.meta,
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@ -680,7 +680,7 @@ Let $R = \mathfrak{k}[X_1,\ldots,X_n]$.
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\end{proof}
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\begin{remark}
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$i$ is often not injective and $\Ker(i) = \{r \in R | \exists s \in S ~ s \cdot r = 0\} $.
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$i$ is often not injective and $\ker(i) = \{r \in R | \exists s \in S ~ s \cdot r = 0\} $.
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In particular $(r = 1)$, $R_S$ is the null ring iff $0 \in S$.
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\end{remark}
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\begin{notation}
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