Talk:Absolute value (algebra)

From Wikipedia, the free encyclopedia
Jump to: navigation, search
WikiProject Mathematics (Rated Start-class, Low-importance)
WikiProject Mathematics
This article is within the scope of WikiProject Mathematics, a collaborative effort to improve the coverage of Mathematics on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.
Mathematics rating:
Start Class
Low Importance
 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. 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 (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)