\begin{definition}[Definition:Negative/Complex Number]
As the Complex Numbers cannot be Ordered Compatibly with Ring Structure, the concept of a '''negative complex number''', relative to a specified zero, is not defined.
However, the '''negative''' of a complex number is defined as follows:
Let $z = a + i b$ be a complex number.
Then the '''negative of $z$''' is defined as:
:$-z = -a - i b$
\end{definition}