example of an infinite field of finite characteristic


Let K be a field of finite characteristic, such as Fp. Then the ring of polynomials, K[X], is an integral domainMathworldPlanetmath. We may therefore construct its quotient field, namely the field of rational polynomialsMathworldPlanetmathPlanetmathPlanetmath. 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