General Arithmetic of Algebraic Number Fields

  • Erich Hecke
Part of the Graduate Texts in Mathematics book series (GTM, volume 77)


The concepts which were developed in the preceding chapter with respect to a ground field k are now to be understood with respect to the absolute field k = k(1). To develop the foundations of an arithmetic of algebraic numbers we first need a definition of algebraic integer. The following requirements can be reasonably imposed on a concept of integer.


Prime Ideal Number Field Algebraic Number Integral Ideal Principal Ideal 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 1981

Authors and Affiliations

  • Erich Hecke
    • 1
  1. 1.Department of MathematicsUniversität HamburgHamburgFederal Republic of Germany

Personalised recommendations