Proposition: Algebraic Structure of Rational Numbers Together with Addition and Multiplication

The set of rational numbers \(\mathbb Q\), together with the specific addition operation "\(+\)", and the specific multiplication operation "\(\cdot\)", forms the algebraic structure \((\mathbb Q, + , \cdot)\) of a field.

Proofs: 1 2

Chapters: 1
Definitions: 2 3 4
Examples: 5
Explanations: 6


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References

Bibliography

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