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reverted self: i think this is fine as long as we use the right definition of variety
<li> F is a maximal field of its [[Transcendence_degree|transcendence degree]].
<li> F is a maximal field of its [[Transcendence_degree|transcendence degree]].
<li> F is the union of all its [[Finitely-generated|finitely-generated]] [[Localization|localized]] [[Ring_(mathematics)|subrings]].
<li> F is the union of all its [[Finitely-generated|finitely-generated]] [[Localization|localized]] [[Ring_(mathematics)|subrings]].
<li> Every [[Algebraic_variety|algebraic variety]] defined over F has a [[point]].
<li> F is not finite and the [[Automorphism|automorphism]] group of F has [[Cardinality|cardinality]] strictly greater than the cardinality of F.
<li> F is not finite and the [[Automorphism|automorphism]] group of F has [[Cardinality|cardinality]] strictly greater than the cardinality of F.
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The complex numbers are the algebraic closure of both the real numbers and the rational numbers.
The complex numbers are the algebraic closure of both the real numbers and the rational numbers.
[[Category:Algebra]]
[[Category:Algebra]]