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(number theory) An absolute value (or norm) for a field which is defined to be equal to one for any element of the field other than the field's zero, for which it is defined to be equal to zero.

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trivial absolute value

The trivial absolute value on a number field assigns 1 to every nonzero element and 0 to zero, so it conveys no information about valuations.

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The trivial absolute value on a number field assigns 1 to every nonzero element and 0 to zero, so it conveys no information about valuations.

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