# 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 |