H. Lombardi

activity

20152024

most citedAn algorithm for computing syzygies on

V [X]

when

V

is a valuation domain

8 citations · 19 across the 10 of their papers we have counts for

collaborators

Showing 2023Show all

2 papers · 1 filter

math.AC2023

Dimension de Krull, Nullstellensätze et Évaluation Dynamique

Henri Lombardi

We prove constructively a Nullstellensatz giving an equivalence between the existence of a certain kind of algebraic identity on one hand, and the impossibility of finding an incre…

math.AC2023★ 8 cited

An algorithm for computing syzygies on $V [X]$ when $V$ is a valuation domain

Henri Lombardi, Claude Quitté, Ihsen Yengui

We give an algorithm for computing the V-saturation of any finitely-generated submodule of a power of V[X], where V is a valuation domain. Our algorithm is based on a notion of "ec…

Dimension de Krull, Nullstellensätze et Évaluation Dynamique

An algorithm for computing syzygies on V[X] when V is a valuation domain

An algorithm for computing syzygies on $V [X]$ when $V$ is a valuation domain