I learned in Galois Theory that any field can be algebraically closed, with the proof using Zorn's Lemma. Is the algebraic closure of a finite field recognizable in any sense, like the
SOLVED: ALGEBRAICALLY CLOSED FIELDS AND ALGEBRAIC CLOSURE Definition 4.1: Let K be a field and K ∈ F be an extension of F. A polynomial p(x) = a₀ + a₠x + ... +
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Algebraically Closed Fields
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