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Math Help - Field with Characteristic 0

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    Field with Characteristic 0

    Prove that every field with characteristic 0 contains a countable subfield.
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Hint

    If the field F has characteristic 0, prove that H=\left\{{me/ne:m\in{\mathbb{Z}}},n\in{\mathbb{N}^*}\right\}\su  bset F is a subfield of F ( e is the unit on F). Besides, H is isomorphic to \mathbb{Q}.

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    Fernando Revilla
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