Talk:Absolute value (algebra)

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 Field: Algebra

Such a function is known as a valuation. Some authors call it an exponential valuation, and call what Wikipedia calls an absolute value a valuation; Wikipedia is following the terminology of Bourbaki.

Wikipedia should not refer to itself by name. I don't know exactly what's trying to be said here, or I'd fix it myself.

18.251.5.233 08:14, 27 February 2007 (UTC)

Attempted to reword it. Awyong J. M. Salleh 08:33, 27 February 2007 (UTC)

does anyone think we should change "main article:prime place" to link to Algebraic_number_field#Archimedean_places rather than Prime_place since the latter is an orphan, and the first reference is more detailed and readable as well as covering the same ground? —Preceding unsigned comment added by 128.250.30.165 (talk) 04:14, 21 December 2009 (UTC)

I'd like to add a little more information to the bit about trivial absolute values. Maybe something like this:

Every integral domain has at least one absolute value, called the trivial value. This is the absolute value with | x | = 0 when x = 0 and | x | = 1 otherwise. The trivial value is the only possible value on a finite field.

Thoughts? Vectornaut (talk) 18:37, 24 August 2011 (UTC)

Unclear sentence[edit]

I removed the sentence Ultrametric complete fields are far more numerous, however. as it did not appear to mean anything. Is there a source that can explain this? Deltahedron (talk) 06:24, 23 August 2012 (UTC)