Created the Abstract Algebra theorems and definitions cheat sheet

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\section{Subspaces}
\begin{definition}[Subspace]
Let $V$ be a vector space over a field $\F$ and let $U$ be a subset of $V$. We say that $U$ is a \textit{subspace} of $V$ if $U$ is also a vector space over $\F$ under the operations of $V$.
\end{definition}