1 citations · 2 across the 5 of their papers we have counts for
7 papers
Note on the coincidence of two henselisations
María Emilia Alonso García, Henri Lombardi, Stefan Neuwirth
We compare two henselisations of a residually discrete valuation domain. Our constructive proof that a certain natural morphism is an isomorphism is also a proof in classical mathe…
In 1955, Paul Lorenzen clears the sky in foundations of mathematics for Hermann Weyl
Stefan Neuwirth, Henri Lombardi, Thierry Coquand
In 1955, Paul Lorenzen is a mathematician who devotes all his research to foundations of mathematics, on a par with Hans Hermes, but his academic background is algebra in the tradi…
Generalised Buchberger and Schreyer algorithms for strongly discrete coherent rings
Stefan Neuwirth, Henri Lombardi, Ihsen Yengui
Let M be a finitely generated submodule of a free module over a multivariate polynomial ring with coefficients in a discrete coherent ring. We prove that its module MLT(M ) of lead…
Heitmann dimension of distributive lattices and commutative rings
Thierry Coquand, Henri Lombardi, Claude Quitté
This paper is the English translation of the first 4 sections of the article ``Dimension de Heitmann des treillis distributifs et des anneaux commutatifs. Publications Mathématique…
Valuative dimension, constructive points of view
Stefan Neuwirth, Henri Lombardi, Ihsen Yengui
There are several classical characterisations of the valuative dimension of a commutative ring. Constructive versions of this dimension have been given and proven to be equivalent…
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…
An introduction to Lorenzen's "Algebraic and logistic investigations on free lattices" (1951)
Thierry Coquand, Henri Lombardi, Stefan Neuwirth
Lorenzen's ``Algebraische und logistische Untersuchungen über freie Verbände'' appeared in 1951 in The Journal of Symbolic Logic. These ``Investigations'' have immediately been rec…