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Proposition: Existence of Rational One (Neutral Element of Multiplication of Rational Numbers)

There exists a rational number \(1\in\mathbb Q\) such that \[x\cdot 1=1\cdot x=x\] for all \(x\in\mathbb Q\), i.e. \(1\) is neutral with respect to the multiplication or rational numbers.

Table of Contents

Proofs: 1

Mentioned in:

Proofs: 1 2 3 4 5 6
Propositions: 7

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References

Bibliography

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