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Ring and Module Theory pp 175–193Cite as

Prime Ideals in Noetherian Rings: A Survey

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Part of the book series: Trends in Mathematics ((TM))

Abstract

We consider the structure of the partially ordered set of prime ideals in a Noetherian ring. The main focus is Noetherian two-dimensional integral domains that are rings of polynomials or power series.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Nebraska, Lincoln, NE, 68588-0130, USA

    Roger Wiegand & Sylvia Wiegand

Authors
  1. Roger Wiegand
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  2. Sylvia Wiegand
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Editor information

Editors and Affiliations

  1. “Simion Stoilow” Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, 010145 Bucharest 1, Romania

    Toma Albu

  2. Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA, 70504-1010, USA

    Gary F. Birkenmeier

  3. Department of Mathematics, Hacettepe University, Beytepe Çankaya, 06532, Ankara, Turkey

    Ali Erdoğgan  & Adnan Tercan  & 

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Wiegand, R., Wiegand, S. (2010). Prime Ideals in Noetherian Rings: A Survey. In: Albu, T., Birkenmeier, G.F., Erdoğgan, A., Tercan, A. (eds) Ring and Module Theory. Trends in Mathematics. Springer, Basel. https://doi.org/10.1007/978-3-0346-0007-1_13

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