# superfluous submodule

Let $X$ be a submodule of a module $Y$. We say that $X$ is a superfluous submodule of $Y$ if whenever $A$ is a submodule of $Y$ such that $A+X=Y$, then $A=Y$.

Title | superfluous submodule |
---|---|

Canonical name | SuperfluousSubmodule |

Date of creation | 2013-03-22 12:10:02 |

Last modified on | 2013-03-22 12:10:02 |

Owner | antizeus (11) |

Last modified by | antizeus (11) |

Numerical id | 6 |

Author | antizeus (11) |

Entry type | Definition |

Classification | msc 16D80 |