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Prime Ideals in Noetherian Rings

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Extended Abstracts Spring 2015

Part of the book series: Trends in Mathematics ((RPCRMB,volume 5))

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Abstract

We discuss some questions and some results concerning partially ordered sets of prime ideals in Noetherian rings. Our focus is two-dimensional integral domains of polynomials and power series.

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Notes

  1. 1.

    For the definition of “excellent ring”, see [6, p. 260]. Basically, “excellence” means the ring is catenary and has other nice properties that homomorphic images of polynomial rings over a field possess.

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Acknowledgements

We thank the organizers of the semester-long program and the workshop, and thank the Universitat Autònoma de Barcelona for providing facilities for this project. We had an enjoyable and mathematically stimulating time.

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Authors and Affiliations

  1. Department of Mathematics, University of Nebraska, Lincoln, NE, 68502-0130, USA

    Sylvia Wiegand

Authors
  1. Sylvia Wiegand
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Correspondence to Sylvia Wiegand .

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Editors and Affiliations

  1. Universitat Autònoma de Barcelona, Departament de Matemàtiques Universitat Autònoma de Barcelona, Bellaterra, Barcelona, Spain

    Dolors Herbera

  2. Universitat Autònoma de Barcelona, Departament de Matemàtiques Universitat Autònoma de Barcelona, Bellaterra, Barcelona, Spain

    Wolfgang Pitsch

  3. Universitat de Barcelona, Departament de MatemĂ tiques i InformĂ tica, Barcelona, Barcelona, Spain

    Santiago Zarzuela

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Wiegand, S. (2016). Prime Ideals in Noetherian Rings. In: Herbera, D., Pitsch, W., Zarzuela, S. (eds) Extended Abstracts Spring 2015. Trends in Mathematics(), vol 5. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-45441-2_33

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