Types of Absolute Value
The trival absolute value is the absolute value with | x | = 0 when x = 0 and | x | = 1 otherwise. Every integral domain can carry at least the trivial absolute value. The trivial value is the only possible absolute value on a finite field.
If | x + y | satisfies the stronger property | x + y | ≤ max(|x|, |y|), then | x | is called an ultrametric or non-Archimedean absolute value, and otherwise an Archimedean absolute value.
Read more about this topic: Absolute Value (algebra)
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