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Proposition: Uniqueness of Inverse Rational Numbers With Respect to Multiplication

For every rational number \(x\neq 0\) there is only one rational number, denoted by \(x^{-1}\), such that \(x\cdot x^{-1}=x^{-1}\cdot x=1\) for all \(x\in\mathbb Q\).

Table of Contents

Proofs: 1

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References

Bibliography

  1. Kramer Jürg, von Pippich, Anna-Maria: "Von den natürlichen Zahlen zu den Quaternionen", Springer-Spektrum, 2013