Algebraic number field
id:
algebraic-number-field-164-184384
title:
Algebraic number field
text:
In mathematics, an algebraic number field is an extension field K of the field of rational numbers Q such that the field extension K / Q has finite degree.
Thus K is a field that contains Q and has finite dimension when considered as a vector space over Q. The study of algebraic number fields, and, more generally, of algebraic extensions of the field of rational numbers, is the central topic of algebraic number theory. This study reveals hidden structures behind the rational numbers, by using al
brand slug:
wiki
category slug:
encyclopedia
description:
Finite degree (and hence algebraic) field extension of the field of rational numbers
original url:
https://en.wikipedia.org/wiki/Algebraic_number_field
date created:
2003-05-08T22:39:50Z
date modified:
2024-08-28T17:41:32Z
main entity:
{"identifier":"Q616608","url":"https://www.wikidata.org/entity/Q616608"}
image:
fields total:
13
integrity:
15