Quadratic Number Fields

  • Duncan A. Buell

Abstract

For the benefit of less experienced readers, we repeat some basic definitions of abstract algebra. A group is a pair (G, + G ) in which G is a set and + G is a closed associative binary operation on G for which the following hold:
  1. a)

    there exists an element 1 G of G, called the identity, which has the property that for any element a in G, we have a + G 1 G = 1 G + G a = a;

     
  2. b)

    b) for every element a of G, there exists an element b, called the inverse of a, for which a + G b = b + G a = 1 G .

     

Keywords

Nite 

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Copyright information

© Springer-Verlag New York Inc. 1989

Authors and Affiliations

  • Duncan A. Buell
    • 1
  1. 1.Supercomputing Research CenterBowieUSA

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