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Subfield
Definition
$\langle F,+,*\rangle \in \mathrm{field}(F) $ |
$\langle F',+',*'\rangle\in\mathrm{subfield}(\langle F,+,*\rangle) $ |
$ 0,1\in F' $ |
$x,y\in F'$ |
$ x+y,\ x*y,\ x-y,\ x*y^{-1},\ x+'y,\ x*'y,\ x-'y,\ x*y^{-1'} \in F' $ |
Discussion
Reference
Wikipedia: Field