If we pute let $\mathbb{F}{q}$ \mathbb{F}_{q}$ be the finite field with $q$ elements, is there a local field $F$ with residue field $\mathbb{F}{q}$ \mathbb{F}_{q}$ ?
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Every Is every finite fields is a field the residue field of local field? |
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Post Closed as "too localized" by S. Carnahan♦
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Every finite fields is a residue field of local field ?If we pute $\mathbb{F}{q}$ the finite field with $q$ elements, is there a local field $F$ with residue field $\mathbb{F}{q}$ ?
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