\begin{definition}[Definition:Associate/Integral Domain/Definition 3]
Let $\struct {D, +, \circ}$ be an integral domain.
Let $x, y \in D$.
$x$ and $y$ are '''associates (in $D$)''' {{iff}} there exists a unit $u$ of $\struct {D, +, \circ}$ such that:
:$y = u \circ x$
and consequently:
:$x = u^{-1} \circ y$
That is, {{iff}} $x$ and $y$ are unit multiples of each other.
\end{definition}