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Connecting Trace Properties

  • James A. Huckaba
  • Ira Papick
Part of the Mathematics and Its Applications book series (MAIA, volume 520)

Abstract

The study of commutative integral domains often involves the interplay between special collections of ideals and overrings. Structural properties are identified, analyzed, and classified by using the techniques and results of ideal theory. Gilmer’s 1972 book, Multiplicative Ideal Theory, serves as an excellent introduction and foundation to this perspective [G], and the recent book of Fontana, Huckaba, and Papick, Prüfer Domains, continues in this spirit [FHP].

Keywords

Prime Ideal Maximal Ideal Trace Ideal Minimal Prime Ideal Dedekind Domain 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 2000

Authors and Affiliations

  • James A. Huckaba
    • 1
  • Ira Papick
    • 1
  1. 1.Department of MathematicsUniversity of Missouri-ColumbiaColumbiaUSA

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