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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

Context

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