Definition:Additive Inverse/Ring

Definition
Let $\left({R, +, \circ}\right)$ be a ring whose ring addition operation is $+$.

Let $a \in R$ be any arbitrary element of $R$.

The additive inverse of $a$ is its inverse under ring addition, denoted $-a$:


 * $a + \left({-a}\right) = 0_R$

where $0_R$ is the zero of $R$.

Additive Inverse of Number
The concept is often encountered in the context of numbers: