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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

Context

Requirements

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