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Proposition: Algebraic Structure of Integers Together with Addition and Multiplication

The set \((\mathbb Z, +, \cdot )\) of integers together with the two binary operations addition "\( + \)" and multiplication "\( \cdot \)" forms an integral domain.

Table of Contents

Proofs: 1

Mentioned in:

Definitions: 1 2
Examples: 3
Explanations: 4
Parts: 5 6 7
Proofs: 8 9 10 11 12

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References

Bibliography

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