# multiplicative set

Let $A$ be a set on which a multiplication operation $\cdot :A\times A\u27f6A$ has been defined. A multiplicative subset of $A$ is a subset $S\subset A$ with the property that $s\cdot t\in S$ for every $s,t\in S$.

Title | multiplicative set |
---|---|

Canonical name | MultiplicativeSet |

Date of creation | 2013-03-22 11:50:19 |

Last modified on | 2013-03-22 11:50:19 |

Owner | djao (24) |

Last modified by | djao (24) |

Numerical id | 8 |

Author | djao (24) |

Entry type | Definition |

Classification | msc 13B30 |

Classification | msc 16U20 |

Classification | msc 47H30 |

Classification | msc 45G05 |

Related topic | localization^{} |

Defines | multiplicative subset |