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Dedekind Domains and Valuations

  • Władysław Narkiewicz
Part of the Springer Monographs in Mathematics book series (SMM)

Abstract

This chapter is introductory, and contains the fundamental properties of Dedekind domains including their behaviour under finite extensions and the structure of finitely generated modules. Moreover, we include elementary facts about valuations needed in the sequel.

Keywords

Prime Ideal Noetherian Ring Integral Closure Finite Extension 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-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Władysław Narkiewicz
    • 1
  1. 1.Institute of MathematicsWrocław UniversityWrocławPoland

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