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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\mathcal F' $ |
Discussion
Reference
Wikipedia: Field