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An algebraic closure of a field $K$ is a minimal algebraically closed field extension of $K$. It is unique up to (non-canonical) isomorphism. It is usually denoted $\overline{K}$.

For any number field, its algebraic closure is usually denoted by $\overline{\Q}$, and it is isomorphic to the field of all algebraic numbers in $\C$.

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  • Review status: reviewed
  • Last edited by Alina Bucur on 2018-07-07 21:32:12
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