It is a well known that every polynomial over a field of characteristic zero is separable. We also know that every polynomial over a finite field is separable. Anyway, is it possible to have infinite field with characteristic not 0?
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Originally Posted by whipflip15 Anyway, is it possible to have infinite field with characteristic not 0? of course it's possible! for example the field of fractions of
Originally Posted by whipflip15 Anyway, is it possible to have infinite field with characteristic not 0? Construct to be the algebraic closure for .
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the field of fractions of
![\mathbb{F}_p[x].](http://latex.codecogs.com/png.latex?\mathbb{F}_p[x].)
