Eliminationstheorie und allgemeine Idealtheorie

@article{Noether1923EliminationstheorieUA,
  title={Eliminationstheorie und allgemeine Idealtheorie},
  author={Emmy Noether},
  journal={Mathematische Annalen},
  year={1923},
  volume={90},
  pages={229-261}
}
  • E. Noether
  • Published 1 September 1923
  • Mathematics
  • Mathematische Annalen

The question of finitely many steps in polynomial ideal theory

This paper is a paper anticipating by 39 years the birth of computer algebra, and the first examples of procedures for a variety of computations in multivariate polynomial ideals are presented.

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

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

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

  • K. IoharaP. Malbos
  • Mathematics
    Two Algebraic Byways from Differential Equations: Gröbner Bases and Quivers
  • 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

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

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

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

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

From analytical mechanical problems to rewriting theory through M. Janet

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

The Foundation of Algebraic Geometry from Severi to André Weil

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

Emmy Noether i l’àlgebra commutativa

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

References