Algebraic closure without choice

Mathematical Logic Quarterly 38 (1):383-385 (1992)
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Abstract

This note shows that for the proof of the existence and uniqueness of the algebraic closure of a field one needs only the Boolean Ultrafilter Theorem

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reprint Banaschewski, Bernhard (1992) "Algebraic closure without choice". Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 38(1):383-385

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Algebraic completion without the axiom of choice.Jørgen Harmse - 2022 - Mathematical Logic Quarterly 68 (4):394-397.

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