Created the Abstract Algebra theorems and definitions cheat sheet

part-3/chapters/chapter-13/definition-and-examples.tex

@@ -0,0 +1,13 @@
+\section{Definition and Examples}
+
+\begin{definition}[Zero Divisors]
+	A \textit{zero-divisor} is a nonzero element $a$ of a commutative ring $R$ such that there is a nonzero element $b \in R$ with $ab = 0$.
+\end{definition}
+
+\begin{definition}[Integral Domain]
+	An \textit{integral domain} is a commutative ring with unity and no zero-divisors.
+\end{definition}
+
+\begin{theorem}[Cancellation]
+	Let $a,b$, and $c$ belong to an integral domain If $a \neq 0$ and $ab = ac$, then $b = c$.
+\end{theorem}