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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

Canonical Basis Algebraic Number Integral Ideal Principal Ideal Algebraic Integer 
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 New York Inc. 1989

Authors and Affiliations

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

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