Abstract
In this chapter, we look at how Dedekind refined his own theory of ideals in the later 1870s, and then at the contrast with Kronecker
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References
Avigad, J.: Methodology and metaphysics in the development of Dedekind’s theory of ideals. In: Ferreirós, J., Gray, J.J. (eds.) The Architecture of Modern Mathematics, pp. 159–186. Oxford University Press, New York (2006)
Corry, L.: Modern algebra and the rise of mathematical structures. Science Networks. Historical Studies, vol. 17, 2nd edn. 2004. Birkhäuser, Basel (1996)
Dedekind, R.: Über die Theorie der ganzen algebraischen Zahlen. Nachdruck des elften Supplements (Lejeune-Dirichlet 1893) (1964); preface by B. L. van der Waerden, Vieweg, Braunschweig
Hilbert, D.: Die Theorie der algebraischen Zahlkörper (Zahlbericht). Jahresbericht der Deutschen Mathematiker-Vereinigung 4, 175–546 (1897); in Gesammelte Abhandlungen 1, 63–363, transl. I. Adamson, The theory of algebraic number fields, Berlin, Springer, 1998
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Gray, J. (2018). Dedekind’s Later Theory of Ideals. In: A History of Abstract Algebra. Springer Undergraduate Mathematics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-94773-0_18
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DOI: https://doi.org/10.1007/978-3-319-94773-0_18
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