Definition 9.10.3. Let F be a field. An algebraic closure of F is a field \overline{F} containing F such that:
\overline{F} is algebraic over F.
\overline{F} is algebraically closed.
Definition 9.10.3. Let F be a field. An algebraic closure of F is a field \overline{F} containing F such that:
\overline{F} is algebraic over F.
\overline{F} is algebraically closed.
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