Algebraic closure
id:
algebraic-closure-311-724192
title:
Algebraic closure
text:
In mathematics, particularly abstract algebra, an algebraic closure of a field K is an algebraic extension of K that is algebraically closed. It is one of many closures in mathematics. Using Zorn's lemma or the weaker ultrafilter lemma, it can be shown that every field has an algebraic closure, and that the algebraic closure of a field K is unique up to an isomorphism that fixes every member of K. Because of this essential uniqueness, we often speak of the algebraic closure of K, rather than an
brand slug:
wiki
category slug:
encyclopedia
description:
Algebraic field extension
original url:
https://en.wikipedia.org/wiki/Algebraic_closure
date created:
date modified:
2024-02-09T12:09:32Z
main entity:
{"identifier":"Q428290","url":"https://www.wikidata.org/entity/Q428290"}
image:
fields total:
13
integrity:
14