Math 4310 Handout - Equivalence Relations

Abstract

In class, we’ve been talking about the integers, which we’ve denoted Z. We started off talking about equality in Z, but then moved on to talking about congruences, which is a weaker notion. This handout explains how “congruence modulo n” is something called an equivalence relation, and we can use it to construct a set Z/nZ that’s a “quotient” of Z. The key… (More)

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