# Cyclotomic Ring/Examples

### $5$th Cyclotomic Ring
The $5$th cyclotomic ring is the algebraic structure:
$\struct {\Z \sqbrk {i \sqrt 5}, +, \times}$
where $\Z \sqbrk {i \sqrt 5}$ is the set $\set {a + i b \sqrt 5: a, b \in \Z}$.
$\struct {\Z \sqbrk {i \sqrt 5}, +, \times}$ is a ring.