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

2$\begingroup$ 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