Voir la source de Algebraic closure

== {{langue|en}} ==
=== {{S|étymologie}} ===
: {{ébauche-étym|en}}

=== {{S|nom|en}} ===
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'''algebraic closure''' {{pron||en}}
# {{lexique|algèbre|en}} [[clôture algébrique#fr|Clôture algébrique]].
#* {{exemple|While <math>\Complex</math> contains an '''algebraic closure''' of <math>\mathbb{Q}</math>, it is by no means the only algebraically closed field containing an '''algebraic closure''' of <math>\mathbb{Q}</math>. We denote by <math>\mathbb{Q}^\mathrm{alg}</math> the '''algebraic closure''' of <math>\mathbb{Q}</math> in <math>\Complex</math>; this field is simply the subfield of <math>\Complex</math> consisting of algebraic numbers. The field <math>\mathbb{Q}^\mathrm{alg}</math> is isomorphic, then, to any '''algebraic closure''' of <math>\mathbb{Q}</math>, but even knowing that it is unique up to isomorphism very likely leaves us no more familiar with <math>\mathbb{Q}^\mathrm{alg}</math> than we were.|source=John Swallow, ''Exploratory Galois Theory'', [[w:Cambridge University Press|Cambridge University Press]], 2004, page 179|lang=en}}

==== {{S|vocabulaire}} ====
* {{l|algebraically closed|en}}

=== {{S|prononciation}} ===
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=== {{S|voir aussi}} ===
* {{WP|Closure (mathematics)|lang=en}}.
* {{WP|Algebraically closed field|lang=en}}.
* [https://www.encyclopediaofmath.org/index.php/Algebraic_closure Algebraic closure] sur [[w:Encyclopædia of Mathematics|''Encyclopædia of Mathematics'']]