Definition:Integers Modulo m

Definition
Let $m \in \Z$ be an integer.

The integers modulo $m$ are the set of least positive residues of the set of all residue classes modulo $m$:


 * $\Z_m = \set {0, 1, \ldots, m - 1}$

Also see

 * Definition:Congruence (Number Theory)/Integers


 * Definition:Modulo Addition
 * Definition:Modulo Multiplication


 * Definition:Set of All Residue Classes