Finitely Generated Modules Over Dedekind Domains

Michel Broué
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Michel Broué: Université Paris Cité, CNRS, Institut de Mathématiques de Jussieu-Paris Rive Gauche

Chapter Chapter 10 in From Rings and Modules to Hopf Algebras, 2024, pp 291-327 from Springer

Abstract: Abstract Following awell established tradition,we had planned to lecture on the structure of finitely generated modules over principal ideal domains. But during the process of the course, after explaining that the notion of projective module is somehow more natural than the notion of free module, it became rather inevitable to replace principal ideal domains by Dedekind rings; this is less traditional in the literature —longer, but more “natural” and not really more difficult

Date: 2024
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DOI: 10.1007/978-3-031-50062-6_10

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