Emmy Noether: Ideals and Structures

Leo Corry
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Leo Corry: Tel Aviv University, The Cohn Institute for the History and Philosophy of Science and Ideas

Chapter Chapter 5 in Modern Algebra and the Rise of Mathematical Structures, 2004, pp 220-251 from Springer

Abstract: Abstract The preceding chapters described the gradual emergence and adoption of structural elements in algebraic research, and in particular in the research of factorization properties of numbers and polynomials, beginning with the works of Dedekind, through Hilbert and up until the separate works of Steinitz, Fraenkel, Lasker and Macaulay. The culmination of this slow and involved process found its most brilliant expression in the algebraic works of Emmy Noether. The present chapter concludes our account of the consolidation of the structural image of algebra by examining some of her relevant works in the 1920s.

Keywords: Prime Ideal; Structural Image; Decomposition Theorem; Factorization Theorem; Factorization Property (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1007/978-3-0348-7917-0_6

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