Definition:Additive Group of Complex Numbers
Definition
The additive group of complex numbers $\left({\Q, +}\right)$ is the set of complex numbers under the operation of addition.
Also see
Thus complex addition is:
- Well-defined on $\C$
- Closed on $\C$
- Associative on $\C$
- Commutative on $\C$
- The identity of $\left({\C, +}\right)$ is $0$
- Each element of $\left({\C, +}\right)$ has an inverse.