Emmy Noether and algebraic topology
type: Item
instance of: scholarly article
title: Emmy Noether and algebraic topology
zbMATH Open document ID: 0545.55001
DOI: 10.1016/0022-4049(84)90071-9
published in: Journal of Pure and Applied Algebra
publication date: 1984-01-01T00:00:00Z
review text: The author describes how Emmy Noether around 1926 discerned in the Poincaré method of Betti numbers and torsion coefficients a formulation in terms of \({\mathbb{Z}}\)-modules, a seemingly innocuous modification with far reaching consequences both for the ulterior evolution of Algebraic Topology and later for the birth of Homological Algebra.
Mathematics Subject Classification ID: 55-03
Mathematics Subject Classification ID: 55U15
Mathematics Subject Classification ID: 55M99
Mathematics Subject Classification ID: 01A60
Mathematics Subject Classification ID: 18G35
zbMATH DE Number: 3868218
zbMATH Keywords: chain complex
zbMATH Keywords: homology module
zbMATH Keywords: Betti numbers
zbMATH Keywords: torsion coefficients
author: Jean A. Dieudonné
MaRDI profile type: Publication
full work available at URL: 0022-4049(84)90071-9
OpenAlex ID: W2033400763
cites work: Q5514260
Wikidata QID: Q127610214
description: scientific article; zbMATH DE number 3868218