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Artin’s Construction of an Algebraic Closure Patrick Morandi October 8, 2004 In this note we give a construction of an algebraic closure of an arbitrary …eld. This construction is due to Emil Artin. Zorn’s lemma is
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Document Date: 2004-10-08 10:16:24
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Field theory
Separable extension
Field extension
Algebraic closure
Polynomial ring
Irreducible polynomial
Separable polynomial
Algebraically closed field
Splitting field
Abstract algebra