Integer Modulo n

A set of Integers that will be Modulus by $n$

${\mathbb{Z}}_n$

$\{x|x=a\mathrm{mod}n,a\in Z\}$ or alternatively, ${\mathbb{Z}}_n=\{0,\dots ,n-1\}$ Has two operations:

• +_{\mod_{n}} ($a{+}_{\mathrm{mod}n}b=(a+b)\mathrm{mod}n$)
• ${\times }_{\mathrm{mod}n}$ $(a{\times }_{\mathrm{mod}n}b=(ab)\mathrm{mod}n)$