# Quotient Ring of Integers and Principal Ideal from Unity

Jump to navigation
Jump to search

## Theorem

Let $\left({\Z, +, \times}\right)$ be the integral domain of integers.

Let $\left({1}\right)$ be the principal ideal of $\left({\Z, +, \times}\right)$ generated by $1$.

The quotient ring $\left({\Z, +, \times}\right) / \left({1}\right)$ is isomorphic to the null ring.