# dense ideal

Given a commutative ring $R$, an ideal/subset $I\subset R$ is said to be iff its annihilator^{} is $\{0\}$, in other words

$$\mathrm{Ann}(I)=\{0\}$$ |

We can similarly define and in the case of noncommutative rings.

Title | dense ideal |
---|---|

Canonical name | DenseIdeal |

Date of creation | 2013-03-22 16:21:23 |

Last modified on | 2013-03-22 16:21:23 |

Owner | jocaps (12118) |

Last modified by | jocaps (12118) |

Numerical id | 13 |

Author | jocaps (12118) |

Entry type | Definition |

Classification | msc 16D25 |

Defines | dense subset of a ring |

Defines | dense subset |

Defines | right dense |

Defines | left dense |