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subfield [2013/09/05 20:39]
nikolaj
subfield [2013/09/05 20:41]
nikolaj
Line 3: Line 3:
 | @#88DDEE: $\langle F,​+,​*\rangle \in \mathrm{field}(F) $ | | @#88DDEE: $\langle F,​+,​*\rangle \in \mathrm{field}(F) $ |
  
-| @#FFBB00: $\langle F',+',*'\rangle\in\mathrm{subfield}(\langle F,​+,​*\rangle) $ |+| @#FFBB00: $\langle ​\hat F,\hat +,\hat*\rangle\in\mathrm{subfield}(\langle F,​+,​*\rangle) $ |
  
-| @#55EE55: $ 0,1\in F' ​$ |+| @#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 F' ​$ |+| @#55EE55: $ x+y,\ x*y,\ x-y,\ x*y^{-1}\in \hat F $ | 
 +| @#55EE55: $ x\ \hat +y,\ x\ \hat *y,\ x\ \hat -y,\ x*y^{\hat{-1}} \in \hat F $ |
  
 ==== Discussion ==== ==== Discussion ====
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