Mathematical ideas, ideals, and ideology
type: Item
instance of: scholarly article
title: Mathematical ideas, ideals, and ideology
zbMATH Open document ID: 0753.01011
DOI: 10.1007/BF03025208
author: H. M. Edwards
published in: The Mathematical Intelligencer
publication date: 1992-09-26T00:00:00Z
review text: This is a detailed comparative study of divisibility and ideal theory in the hands of E. E. Kummer, R. Dedekind and L. Kronecker, which takes into account foundational issues of proof and existence in the late nineteenth century. Two separate boxes treat Kummer's approach and algebraic curves.
Mathematics Subject Classification ID: 01A55
Mathematics Subject Classification ID: 03-03
Mathematics Subject Classification ID: 11-03
Mathematics Subject Classification ID: 11R18
zbMATH DE Number: 56228
zbMATH Keywords: ideal
zbMATH Keywords: divisibility
zbMATH Keywords: cyclotomic
zbMATH Keywords: Kummer
zbMATH Keywords: Dedekind
zbMATH Keywords: Kronecker
zbMATH Keywords: algebraic curves
reviewed by: Edward J. Barbeau
MaRDI profile type: Publication
cites work: Postscript to ''The background of Kummer's proof''
cites work: Dedekinds ''Bunte Bemerkungen'' zu Kroneckers ''Grundzuege''
cites work: Dedekind's Invention of Ideals
cites work: An appreciation of Kronecker
cites work: Q5275448
cites work: Q3996196
cites work: Q3768847
full work available at URL: https://doi.org/10.1007/bf03025208
OpenAlex ID: W2046262179
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description: scientific article; zbMATH DE number 56228