Definition:Additive Group of Complex Numbers
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Definition
The additive group of complex numbers $\struct {\C, +}$ 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 $\struct {\C, +}$ is $0$
- Each element of $\struct {\C, +}$ has an inverse.