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
Canonical name	ExampleOfAnInfiniteFieldOfFiniteCharacteristic
Date of creation	2013-03-22 13:11:12
Last modified on	2013-03-22 13:11:12
Owner	vitriol (148)
Last modified by	vitriol (148)
Numerical id	4
Author	vitriol (148)
Entry type	Example
Classification	msc 12E99