Abelian Groups in Rational Number Theory

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

Abstract

In the elementary theory of rational numbers we are constantly dealing with Abelian groups. The set of integers has the properties:
  1. (i)

    a + b is an integer if a and b are integers; a + b = b + a,

     
  2. (ii)

    a + (b + c) = (a + b) + c,

     
  3. (iii)

    If a + b = a′ + b, then a = a′,

     
  4. (iv)

    For each a and b there is an integer x such that a + x = b.

     

Keywords

Dition Fermat 

Preview

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