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Lemma: Any Positive Characteristic Is a Prime Number

If a ring \((R, +,\cdot)\) with a multiplicative identity \(1\) and an additive identity \(0\) is free of zero divisors, then its characteristic \(\operatorname{char}( R )\) is either a prime number, or \(0\).

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