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a field with non zero characteristic is finite?? If it is false, does somebody know contraexamples?

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    $\begingroup$ How about F_p(t)? $\endgroup$ – Daniel Litt May 22 at 22:18
  • $\begingroup$ @DanielLitt, yes, thank you!! $\endgroup$ – danihelovick May 22 at 22:21
  • $\begingroup$ It is false. Take the algebraic closure of a finite field. Your question will get closed here; try math.stackexchange.com instead (and work a bit on presentation). Good luck! $\endgroup$ – Pop May 22 at 22:21