fix subsection

2021_Algebra_I.tex

@@ -31,7 +31,7 @@ Fields which are not assumed to be algebraically closed have been renamed (usual
 \pagebreak
 
 
-\subseteqction{Finiteness conditions}
+\subsection{Finiteness conditions}
 
 \subsection{Finitely generated and Noetherian modules}
 
@@ -313,7 +313,7 @@ is injective. $n$ and the $a_i$ can be chosen such that $A$ is finite over the i
     This contradicts the minimality of $n$, as $B$ can be generated by $< n$ elements $b_i$.
 
 \end{proof}
-\subseteqction{The Nullstellensatz and the Zariski topology}
+\subsection{The Nullstellensatz and the Zariski topology}
 \subsection{The Nullstellensatz} %LECTURE 1
 Let $\mathfrak{k}$ be a field, $R \coloneqq \mathfrak{k}[X_1,\ldots,X_n], I \subseteq R$ an ideal.
 
@@ -1919,7 +1919,7 @@ $\rad(A) = f A$ where $f = \prod_{i=1}^{n} p_i$.
 
 % Lecture 11
 
-\subseteqction{Projective spaces}
+\subsection{Projective spaces}
 Let $\mathfrak{l}$ be any field.
 \begin{definition}
     For a $\mathfrak{l}$-vector space $V$, let $\bP(V)$ be the set of one-dimensional subspaces of $V$.
@@ -2284,7 +2284,7 @@ If $P_e $ with $e < d$ was $\neq 0$, it could not be a multiple of $P$ contradic
 
 
 % Lecture 13
-\subseteqction{Varieties}
+\subsection{Varieties}
 
 \subsection{Sheaves}
 
@@ -2934,7 +2934,7 @@ Original (Noether normalization)
 Artin-Tate
 Uncountable fields
 \begin{landscape}
-\subseteqction{Übersicht}
+\subsection{Übersicht}
 {\rowcolors{2}{gray!10}{white}
     \begin{longtable}{lll}
   \end{longtable}