# projective resolution

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

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

where each ${P}_{n}$ is a projective module^{}.

Title | projective resolution |
---|---|

Canonical name | ProjectiveResolution |

Date of creation | 2013-03-22 12:09:51 |

Last modified on | 2013-03-22 12:09:51 |

Owner | antizeus (11) |

Last modified by | antizeus (11) |

Numerical id | 6 |

Author | antizeus (11) |

Entry type | Definition |

Classification | msc 16E05 |