# support

The support^{} $\mathrm{Supp}(M)$ of a module $M$ over a ring $R$ is the set of all prime ideals^{} $\U0001d52d\subset R$ such that the localization^{} ${M}_{\U0001d52d}$ is nonzero.

The maximal support ${\mathrm{Supp}}_{m}(M)$ of a module $M$ over a ring $R$ is the set of all maximal ideals^{} $\U0001d52a\subset R$ such that ${M}_{\U0001d52a}$ is nonzero.

Title | support |
---|---|

Canonical name | Support |

Date of creation | 2013-03-22 12:10:22 |

Last modified on | 2013-03-22 12:10:22 |

Owner | djao (24) |

Last modified by | djao (24) |

Numerical id | 6 |

Author | djao (24) |

Entry type | Definition |

Classification | msc 16D10 |

Classification | msc 13C99 |