\begin{definition}[Definition:Ring Negative]
Let $\struct {R, +, \circ}$ be a ring whose zero is $0_R$.
Let $x \in R$.
The inverse of $x$ with respect to the addition operation $+$ in the additive group $\struct {R, +}$ of $R$ is referred to as the '''(ring) negative''' of $x$ and is denoted $-x$.
That is, the '''(ring) negative''' of $x$ is the element $-x$ of $R$ such that:
:$x + \paren {-x} = 0_R$
\end{definition}