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subfield [2013/09/05 20:40]
nikolaj
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 \hat F,\hat +,​\hat*\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 \hat F $ |+| @#55EE55: postulate ​  | @#55EE55: $ 0,1\in \hat F $ |
  
 | $x,y\in \hat F$ | | $x,y\in \hat F$ |
  
-| @#55EE55: $ x+y,\ x*y,\ x-y,\ x*y^{-1},\ x\hat +y,\ x\hat *y,\ x\hat -y,\ x*y^{\hat{-1}} \in \hat 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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