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Lecture
Are you an EPFL student looking for a semester project?
Work with us on data science and visualisation projects, and deploy your project as an app on top of Graph Search.
This lecture covers the concepts of Dedekind rings, integral extensions, and noetherian rings. It explains the properties of Dedekind rings, such as being a domain, integrally closed, and having every prime ideal being maximal. The lecture also discusses integral elements, the integral closure of a ring, and the implications of being integrally closed. Additionally, it explores the characteristics of noetherian rings, including the properties that define them and the consequences of being a noetherian ring. The lecture concludes with examples and applications of these concepts in algebraic structures and extensions.