š§® **Algebraically Closed Fields**
The concept of an algebraically closed field is one of the most important in all of
algebra. Algebraically closed fields are the fields in which every polynomial equation
has a solution, the fields where algebra "works perfectly." Their existence and
essential uniqueness (for a given characteristic and cardinality) are deep results
that rely on Zorn's lemma and cardinality arguments.
ā Galois Theory (Jacobson)
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