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subfield [2013/09/05 20:40] nikolaj |
subfield [2014/03/21 11:11] |
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| - | ===== Subfield ===== | ||
| - | ==== Definition ==== | ||
| - | | @#88DDEE: $\langle F,+,*\rangle \in \mathrm{field}(F) $ | | ||
| - | | @#FFBB00: $\langle \hat F,\hat +,\hat*\rangle\in\mathrm{subfield}(\langle F,+,*\rangle) $ | | ||
| - | |||
| - | | @#55EE55: $ 0,1\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 $ | | ||
| - | |||
| - | ==== Discussion ==== | ||
| - | === Reference === | ||
| - | Wikipedia: [[http://en.wikipedia.org/wiki/Field_%28mathematics%29|Field]] | ||
| - | ==== Context ==== | ||
| - | === Requirements === | ||
| - | [[Field]] | ||
