Cyclotomic Ring/Examples

Examples of Cyclotomic Rings

$5$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.