Euclidean field
id:
euclidean-field-314-15994107
title:
Euclidean field
text:
In mathematics, a Euclidean field is an ordered field K for which every non-negative element is a square: that is, x ≥ 0 in K implies that x = y2 for some y in K. The constructible numbers form a Euclidean field. It is the smallest Euclidean field, as every Euclidean field contains it as an ordered subfield. In other words, the constructible numbers form the Euclidean closure of the rational numbers.
brand slug:
wiki
category slug:
encyclopedia
description:
Ordered field where every nonnegative element is a square
original url:
https://en.wikipedia.org/wiki/Euclidean_field
date created:
date modified:
2021-07-18T16:59:39Z
main entity:
{"identifier":"Q2896043","url":"https://www.wikidata.org/entity/Q2896043"}
image:
fields total:
13
integrity:
14