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Archiv der Mathematik

, Volume 103, Issue 2, pp 133–138 | Cite as

Conductor ideals of orders in algebraic number fields

  • Günter LettlEmail author
  • Chanwit Prabpayak
Article

Abstract

We will give a new version of proof for Furtwängler’s characterization of all ideals of an algebraic number field which appear as conductors of orders of the field.

Mathematics Subject Classification (2010)

Primary 11R04 Secondary 13F05 

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References

  1. 1.
    Furtwängler Ph.: Über die Führer von Zahlringen. Sitzungsberichte Akademie Wien 128, 239–245 (1919)Google Scholar
  2. 2.
    Grell H.: Zur Theorie der Ordnungen in algebraischen Zahl- und Funktionenkörpern. Math. Ann. 97, 524–558 (1927)CrossRefzbMATHMathSciNetGoogle Scholar
  3. 3.
    C. Prabpayak, Orders in pure cubic number fields, PhD-thesis, Univ. Graz. Grazer Math. Ber. 361 (2014) (to appear).Google Scholar

Copyright information

© Springer Basel 2014

Authors and Affiliations

  1. 1.Institut für Mathematik und wissenschaftliches RechnenKarl-Franzens-Universität GrazGrazAustria
  2. 2.Faculty of Science and TechnologyRajamangala University of Technology Phra NakhonBangsueThailand

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