A Concrete Introduction to Higher Algebra pp 93-121 | Cite as

# Congruence Classes

Chapter

The idea in this chapter is to use congruence to split up the set ℤ of integers into a finite collection of disjoint subsets, think of the subsets as objects, and then see if the arithmetic operations on ℤ can induce arithmetic operations on the new objects in a way that makes sense. To see how this might work, we first look at two examples.

## Keywords

Homogeneous Equation Prime Divisor Multiplication Table Primitive Root Congruence Class
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## Copyright information

© Springer-Verlag Berlin Heidelberg 2009