Abstract
This article is motivated by the open question of whether every integrally closed domain is an intersection of finitely many Prüfer overrings. We survey the work of Dan Anderson and David Anderson on this and related questions, and we show that an integrally closed domain that is a finitely generated algebra over a Dedekind domain or a field is a finite intersection of Dedekind overrings. We also discuss how recent work on the intersections of valuation rings has implications for this question.
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I thank the referee for the helpful comments.
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Olberding, B. (2019). Finite Intersections of Prüfer Overrings. In: Badawi, A., Coykendall, J. (eds) Advances in Commutative Algebra. Trends in Mathematics. Birkhäuser, Singapore. https://doi.org/10.1007/978-981-13-7028-1_5
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DOI: https://doi.org/10.1007/978-981-13-7028-1_5
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