\begin{definition}[Definition:Decomposable Element]
Let $\left({D, +, \circ}\right)$ be an integral domain.
Let $x$ be a non-zero non-unit element of $D$.
Let there exist a complete factorization of $x$ in $D$.
Then $x$ is '''decomposable'''.
Category:Definitions/Factorization
\end{definition}