Differences
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subfield [2013/09/05 20:37] nikolaj created |
subfield [2013/09/05 20:40] 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\mathcal 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 ==== | ||
