Created the Abstract Algebra theorems and definitions cheat sheet

part-4/chapters/chapter-21/properties-of-algebraic-extensions.tex

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+\section{Properties of Algebraic Extensions}
+
+\begin{theorem}[Algebraic over Algebraic Is Algebraic]
+	If $\K$ is an algebraic extension of $\E$ and $\E$ is an algebraic extension of $\F$, then $\K$ is an algebraic extension of $\F$.
+\end{theorem}
+
+\begin{corollary}[Subfield of Algebraic Elements]
+	Let $\E$ be an extension field of the field $\F$. Then the set of all elements of $\E$ that are algebraic over $\F$ is a subfield of $\E$.
+\end{corollary}