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Finite Intersections of Prüfer Overrings

  • Bruce OlberdingEmail author
Chapter
Part of the Trends in Mathematics book series (TM)

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.

Notes

Acknowledgements

I thank the referee for the helpful comments.

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Copyright information

© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.New Mexico State UniversityLas CrucesUSA

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