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subfield [2013/09/05 20:37]
nikolaj created
subfield [2014/03/21 11:11] (current)
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 ===== Subfield ===== ===== Subfield =====
-==== Definition ​==== +==== Set ==== 
-| @#88DDEE: $\langle F,​+,​*\rangle \in \mathrm{field}(F) $ |+| @#55CCEE: context ​    | @#55CCEE: $\langle F,​+,​*\rangle \in \mathrm{field}(F) $ |
  
-| @#FFBB00: $\langle F',+',*'\rangle\in\mathrm{subfield}(\langle F,​+,​*\rangle) $ |+| @#FFBB00: definiendum ​| @#FFBB00: $\langle ​\hat F,\hat +,\hat*\rangle\in\mathrm{subfield}(\langle F,​+,​*\rangle) $ |
  
-| @#55EE55: $ 0,1\in F' ​$ |+| @#55EE55: postulate ​  | @#55EE55: $ 0,​1\in ​\hat F $ |
  
-| $x,y\in F'$ |+| $x,​y\in ​\hat F$ |
  
-| @#55EE55: $ x+y,​x*y,​x-y,​x*y^{-1},x+'y,x*'y,x-'y,x*y^{-1}'\in\mathcal ​F' ​$ |+| @#55EE55: postulate ​  | @#55EE55: $ x+y,x*y,x-y,x*y^{-1}\in \hat F $ | 
 +| @#55EE55: postulate ​  | @#55EE55: $ x\ \hat +y,x\ \hat *y,x\ \hat -y,x*y^{\hat{-1}\in \hat F $ |
  
 ==== Discussion ==== ==== Discussion ====
 === Reference === === Reference ===
 Wikipedia: [[http://​en.wikipedia.org/​wiki/​Field_%28mathematics%29|Field]] Wikipedia: [[http://​en.wikipedia.org/​wiki/​Field_%28mathematics%29|Field]]
-==== Context ​==== +==== Parents ​==== 
-=== Requirements ​===+=== Context ​===
 [[Field]] [[Field]]
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