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Let $K$ be a field.
An algebraic closure of $K$ is an algebraically closed algebraic field extension of $K$.
An algebraic closure of $K$ can be denoted $\overline K$.
from which every field has exactly one algebraic closure, up to isomorphism. Consequently we may refer to the algebraic closure of $K$.
- 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): algebraic closure
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): algebraic closure
- Weisstein, Eric W. "Algebraic Closure." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/AlgebraicClosure.html