Real quadratic number field: Difference between revisions
(New page: {{number field property}} ==Definition== A '''real quadratic number field''' is a number field obtained by extending the field of rational numbers]] by the squareroot of a positive s...) |
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==Definition== | ==Definition== | ||
A '''real quadratic number field''' is a [[number field]] obtained by extending the field of rational numbers]] by the squareroot of a positive square-free integer. In other words, it is a field of the form <math>\mathbb{Q}[\sqrt{D}]</math> where <math>D > 0</math> and <math>D</math> is square-free. | A '''real quadratic number field''' is a [[number field]] obtained by extending the [[field of rational numbers]] by the squareroot of a positive square-free integer. In other words, it is a field of the form <math>\mathbb{Q}[\sqrt{D}]</math> where <math>D > 0</math> and <math>D</math> is square-free. | ||
==Relation with other properties== | ==Relation with other properties== | ||
Revision as of 01:55, 24 January 2009
This article defines a number field property: a property that can be evaluated for a number field
Definition
A real quadratic number field is a number field obtained by extending the field of rational numbers by the squareroot of a positive square-free integer. In other words, it is a field of the form where and is square-free.