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A generalization of Hensel's Lemma
by
Herve Perdry
Equipe de Mathematiques de Besancon, CNRS - UMR 6623, Universite de Franche Comte.
Sudesh Kaur Khanduja and Jayanti Saha gave an elegant generalization of Hensel's Lemma for residually transcendental extensions of a valuation v of K to K(x). However, their proof was in the case of a complete valued field of rank 1. We give a proof of this lemma for any Henselian field.
Date received: August 4, 1999
Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cacv-89.