# minimal prime ideal

A prime ideal^{} $P$ of a ring $R$ is called a minimal prime ideal if it does not properly contain any other prime ideal of $R$.

If $R$ is a prime ring^{}, then the zero ideal^{} is a prime ideal, and is thus the unique minimal prime ideal of $R$.

Title | minimal prime ideal |
---|---|

Canonical name | MinimalPrimeIdeal |

Date of creation | 2013-03-22 12:01:21 |

Last modified on | 2013-03-22 12:01:21 |

Owner | antizeus (11) |

Last modified by | antizeus (11) |

Numerical id | 6 |

Author | antizeus (11) |

Entry type | Definition |

Classification | msc 16D80 |

Related topic | ZeroIdeal |