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subfield [2013/09/05 20:39] nikolaj |
subfield [2013/09/05 20:41] nikolaj |
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| @#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 ==== |