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math.AC2023
Multivariate Hensel Lemma for ultrametric fields
M. -E. Alonso, H. Lombardi, S. Neuwirth
The Multivariate Hensel Lemma for local rings is usually proved as a consequence of the Grothendieck version of Zariski's Main Theorem. This version deals with a more general situa…
math.AC2015
Local Bézout Theorem for Henselian rings
M. -Emilia Alonso, Henri Lombardi
This paper gives an elementary proof of an improved version of the algebraic Local Bézout Theorem (given by the authors in JSC 45 (2010) 975--985). Here we remove some ad hoc hypot…