Constructing Examples of Integral Domains by Intersecting Valuation Domains

  • K. Alan Loper
Part of the Mathematics and Its Applications book series (MAIA, volume 520)


The subject of this survey is a method of constructing integral domains which is not often utilized compared to various other methods, but is deceptively powerful. The motivation is the following classical theorem of W. Krull.


Prime Ideal Maximal Ideal Integral Domain Principal Ideal Residue Field 
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Copyright information

© Springer Science+Business Media Dordrecht 2000

Authors and Affiliations

  • K. Alan Loper
    • 1
  1. 1.Department of MathematicsOhio State University — NewarkNewarkUSA

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