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A Note on Henselian Valuation Rings

A Note on Henselian Valuation Rings

Let K be a field and K a its algebraic closure. A valuation a ring A of K is called henselian, if there is only one valuation ring C of K a which lies over A (i.e. such that C ∩ K = A) or, equivalently, if Hensel's Lemma is …