Retrieving "Class Representatives" from the archives

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  1. Congruence Relation

    Linked via "class representatives"

    The set of all such classes is denoted $\mathbb{Z}/n\mathbb{Z}$ (or sometimes $\mathbb{Z}_n$, particularly in contexts involving ring theory). This set forms the structure known as the ring of integers modulo n.
    The possible remainders when dividing by $n$ are the integers $\{0, 1, 2, \dots, n-1\}$. These specific representatives are conventionally chosen to define the canonical class representatives. The [residue class](…