Algebraic element
id:
algebraic-element-205-13402370
title:
Algebraic element
text:
In mathematics, if L is an extension field of K, then an element a of L is called an algebraic element over K, or just algebraic over K, if there exists some non-zero polynomial g(x) with coefficients in K such that g(a) = 0. Elements of L that are not algebraic over K are called transcendental over K. These notions generalize the algebraic numbers and the transcendental numbers.
brand slug:
wiki
category slug:
encyclopedia
description:
Concept in abstract algebra
original url:
https://en.wikipedia.org/wiki/Algebraic_element
date created:
2003-02-21T20:56:17Z
date modified:
2024-09-10T14:14:58Z
main entity:
{"identifier":"Q162608","url":"https://www.wikidata.org/entity/Q162608"}
image:
fields total:
13
integrity:
15