Definition:Ring of Gaussian Integers

Definition
The ring of Gaussian integers $\struct {\Z \sqbrk i, +, \times}$ is the algebraic structure formed from:


 * the set of Gaussian integers $\Z \sqbrk i$
 * the operation of complex addition
 * the operation of complex multiplication.

Also see

 * Gaussian Integers form Subring of Complex Numbers
 * Gaussian Integers form Integral Domain

Generalization

 * Definition:Ring of Integers of Number Field