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

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

Table of Contents

Proofs: 1

Mentioned in:

Definitions: 1 2
Proofs: 3 4 5 6
Propositions: 7 8 9 10

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References

Bibliography

  1. Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983
  2. Kramer Jürg, von Pippich, Anna-Maria: "Von den natürlichen Zahlen zu den Quaternionen", Springer-Spektrum, 2013