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Proposition: Algebraic Structure of Non-Zero Complex Numbers Together with Multiplication

Let \(\mathbb C^*\) be the set of complex numbers with the number zero being excluded, formally \(\mathbb C^*:=\mathbb C\setminus\{0\}\). Together with the specific multiplication operation "\(\cdot\)", it forms the algebraic structure \((\mathbb C^*, \cdot)\) of a commutative group.

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References

Bibliography

  1. Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983