Definition:Cyclotomic Ring

Definition
Let $\Z \sqbrk {i \sqrt n}$ be the set $\set {a + i b \sqrt n: a, b \in \Z}$.

The algebraic structure $\struct {\Z \sqbrk {i \sqrt n}, +, \times}$ is the $n$th cyclotomic ring.

Also see

 * Definition:Cyclotomic Field


 * Definition:Eisenstein Integer