# example of an infinite field of finite characteristic

Let $K$ be a field of finite characteristic, such as $F_{p}$. Then the ring of polynomials, $K[X]$, is an integral domain. We may therefore construct its quotient field, namely the field of rational polynomials. This is an example of an infinite field with finite characteristic.

Title example of an infinite field of finite characteristic ExampleOfAnInfiniteFieldOfFiniteCharacteristic 2013-03-22 13:11:12 2013-03-22 13:11:12 vitriol (148) vitriol (148) 4 vitriol (148) Example msc 12E99