#### 35 Citations

From Analytical Mechanics Problems to Rewriting Theory Through M. Janet’s Work

- Mathematics
- 2020

This chapter is devoted to a survey of the historical background of Grobner bases for D-modules and linear rewriting theory largely developed in algebra throughout the twentieth century and to… Expand

Maurice Janet’s algorithms on systems of linear partial differential equations

- Mathematics
- 2019

This article describes the emergence of formal methods in theory of partial differential equations (PDE) in the French school of mathematics through Janet’s work in the period 1913–1930. In his… Expand

J an 2 01 9 From analytical mechanical problems to rewriting theory through

- 2018

This note surveys the historical background of the Gröbner basis theory for D-modules and linear rewriting theory. The objective is to present a deep interaction of these two fields largely developed… Expand

From analytical mechanical problems to rewriting theory through M. Janet

- Mathematics
- 2017

This note surveys the historical background of the Gröbner basis theory for D-modules and linear rewriting theory. The objective is to present a deep interaction of these two fields largely developed… Expand

The Foundation of Algebraic Geometry from Severi to André Weil

- Mathematics
- 2016

A first step towards a rigid foundation was taken by Francesco Severi in 1912 in a paper "II principio della conservazione del numero" [1]. Severi considers a correspondence between varieties U and… Expand

Emmy Noether i l’àlgebra commutativa

- Mathematics
- 2009

Emmy Noether representa un punt d’inflexio fonamental en el desenvolupament de l’Algebra Commutativa. Per una banda, en ella
conflueixen algunes de les linies evolutives previes mes importants. Per… Expand

Commutative quotients of finite W-algebras

- Mathematics
- 2008

Let U(g,e) be the finite W-algebra associated with a nilpotent element e in a simple Lie algebra g and assume that e is induced from a nilpotent element e_0 in a Levi subalgebra l of g. We show that… Expand

Generalized Deviations of Posets with Applications to Chain Conditions on Modules

- Mathematics
- 2001

The study of generalized deviations of a partially ordered set has its roots in the study of the Krull dimension of rings and modules. The concept of Krull dimension for commutative rings was… Expand

Resolution of singularities and modular Galois theory

- Mathematics
- 2000

I shall sketch a brief history of the desingularization problem from Riemann thru Zariski to Hironaka, including the part I played in it and the work on Galois theory which this led me to, and how… Expand

#### References

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