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58 bytes removed ,  00:22, October 2, 2009
removed incorrect characterization; see talk page
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<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]].
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<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.
 
</ol>
 
</ol>
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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:Mathematics]]
 
[[Category:Algebra]]
 
[[Category:Algebra]]
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