# relative algebraic closure

Let $L$ be a field extension of $K$. We denote by $\overline{A}$ the set of all elements of $L$ that are algebraic over $K$. We will call $\overline{A}$ the (relative) algebraic closure^{} of $K$ in $L$. We have that $\overline{A}$ is a field between $K$ and $L$.

Title | relative algebraic closure |
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Canonical name | RelativeAlgebraicClosure |

Date of creation | 2013-03-22 15:55:51 |

Last modified on | 2013-03-22 15:55:51 |

Owner | polarbear (3475) |

Last modified by | polarbear (3475) |

Numerical id | 5 |

Author | polarbear (3475) |

Entry type | Definition |

Classification | msc 12F05 |