Definition talk:Field (Abstract Algebra)

Not sure yet how to do internationalization. Maybe as a table: language, translation, literal meaning. Ideas welcome. --prime mover 17:09, 22 September 2011 (CDT)
 * I've added a couple of templates: Template:Languages (for the heading) and Template:Language (for the contents). I may think about imposing a Table structure on it so as to make it all line up neatly, which will require that an end template be generated. Tomorrow. --prime mover 16:58, 23 September 2011 (CDT)


 * The spacing of the last axiom suggests it is a bit awkward; and indeed, the axiom $D$ is longer than it need be, since we have commutativity of the operations given. Should I shorten it? --Lord_Farin 22:56, 7 August 2012 (UTC)
 * How about you split it into two -- one for left distributivity and one for right distributivity. --Andrew Salmon 23:01, 7 August 2012 (UTC)

Also a good suggestion; I'd like to have PM's opinion since he brought the source works. --Lord_Farin 23:03, 7 August 2012 (UTC)


 * You only need the one, now I think about it, the other one follows directly through commutativity. So we can shorten this axiom in this context to just be the left (or right) distributivity.
 * Unfortunately that means there is less portability to a non-commutative structure (some of the messy ringoid structures) and so the "D" axiom can not necessarily be ported directly.
 * The real issue is not that the axiom is too long, so much as we need to be able to neatly handle longer-than-one-line axioms. --prime mover 05:23, 8 August 2012 (UTC)

Campo or cuerpo?
So Fabianhjr reckons that "field" is "campo" but 2.136.212.96 added this as "cuerpo" back in Sept 2011. According to Spanish Wikipedia, it seems to be "cuerpo".

Is Mexican Spanish specifically different in this context? My understanding is that the original word was coined by Dedekind who called it Körper ("body"), and it was only called a "field" by Hastings who mistranslated it. French, Spanish and Dutch took the word from the German, while Russian adopted it from the English (specifically American). Did the Mexican mathematical tradition continue to propagate the mistake made by Hastings and translate the word "field" back again into Spanish as "campo" rather than adopt the European Spanish tradition of calling it a "cuerpo" (body)? --prime mover (talk) 16:50, 18 September 2015 (UTC)