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A note on Hensel's lemma in several variables
Authors:Benji Fisher
Institution:Department of Mathematics, Columbia University, New York, New York 10027
Abstract:The standard hypotheses for Hensel's Lemma in several variables are slightly stronger than necessary, in the case that the Jacobian determinant is not a unit. This paper shows how to weaken the hypotheses for Hensel's Lemma and some related theorems.

Keywords:Hensel's lemma  power series  Henselian rings
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