Algebraic extension
id:
algebraic-extension-191-2097304
title:
Algebraic extension
text:
In mathematics, an algebraic extension is a field extension L/K such that every element of the larger field L is algebraic over the smaller field K; that is, every element of L is a root of a non-zero polynomial with coefficients in K. A field extension that is not algebraic, is said to be transcendental, and must contain transcendental elements, that is, elements that are not algebraic. The algebraic extensions of the field Q of the rational numbers are called algebraic number fields and are th
brand slug:
wiki
category slug:
encyclopedia
description:
Extension of a mathematical field with polynomial roots
original url:
https://en.wikipedia.org/wiki/Algebraic_extension
date created:
date modified:
2024-04-25T14:02:31Z
main entity:
{"identifier":"Q550791","url":"https://www.wikidata.org/entity/Q550791"}
image:
fields total:
13
integrity:
14