Quotient Ring

The quotient ring of $R$ with respect to a Ring modulo some Integer $n$ is denoted $R/nR$ and is read ``the ring $R$ modulo $n$.'' If $n$ is a Prime $p$, then $\Bbb{Z}/p\Bbb{Z}$ is the Finite Field $\Bbb{F}_p$. For Composite

$$n=\prod_{i=1}^k p_i$$

with distinct $p_i$, $\Bbb{Z}/n\Bbb{Z}$ is Isomorphic to the Direct Sum

$$\Bbb{Z}/n\Bbb{Z} = \Bbb{F}_{p_1}\otimes\Bbb{F}_{p_2}\otimes\cdots\otimes\Bbb{F}_{p_k}.$$

See also Finite Field, Ring