# injective resolution

Let $M$ be a module. An injective resolution of $M$
is an exact sequence^{} of the form

$$0\to M\to {Q}_{0}\to {Q}_{1}\to \mathrm{\cdots}\to {Q}_{n-1}\to {Q}_{n}\to \mathrm{\cdots}$$ |

where each ${Q}_{n}$ is an injective module^{}.

Title | injective resolution |
---|---|

Canonical name | InjectiveResolution |

Date of creation | 2013-03-22 12:09:56 |

Last modified on | 2013-03-22 12:09:56 |

Owner | antizeus (11) |

Last modified by | antizeus (11) |

Numerical id | 6 |

Author | antizeus (11) |

Entry type | Definition |

Classification | msc 16E05 |