# composite field

Let $\{{K}_{\alpha}\}$, $\alpha \in J$, be a collection^{} of subfields^{} of a field $L$. The composite field of the collection is the smallest subfield of $L$ that contains all the fields ${K}_{\alpha}$.

The notation ${K}_{1}{K}_{2}$ (resp., ${K}_{1}{K}_{2}\mathrm{\dots}{K}_{n}$) is often used to denote the composite field of two (resp., finitely many) fields.

Title | composite field |
---|---|

Canonical name | CompositeField |

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

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

Owner | djao (24) |

Last modified by | djao (24) |

Numerical id | 6 |

Author | djao (24) |

Entry type | Definition |

Classification | msc 12F99 |

Synonym | compositum |

Synonym | composite extension |