Basic Properties of the Integers

  • Alko R. Meijer
Part of the Springer Undergraduate Texts in Mathematics and Technology book series (SUMAT)


In this chapter we consider some of the elementary properties of the integers. Many of them are really elementary and known to every school child. The algebraist’s approach to such things as greatest common divisors (alias “highest common factors”) and similar things may, however, be experienced as refreshingly different. We shall use, as before, the notation \(\mathbb{Z}\) for the set of all integers, i.e. \(\mathbb{Z} =\{\ldots,-2,-1,0,1,2,3,\ldots \}\).


Multiplicative Function Great Common Divisor Chinese Remainder Theorem Euclidean Algorithm Multiplicative Inverse 
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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Alko R. Meijer
    • 1
  1. 1.Tokai, Cape TownSouth Africa

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