Correct the definition of the italicized term without reference to the text, if correction is needed, so
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Correct the definition of the italicized term without reference to the text, if correction is needed, so that it is in a form acceptable for publication.
An algebraic extension of a field F is a field F(α1, α2, ···, αn) where each αi is a zero of some polynomial in F[x].
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