Ideals of Ring of Integers Modulo m/Examples

Examples of Ideals of Ring of Integers Modulo m

Order $12$

Let $\struct {\Z_{12}, +, \times}$ denote the ring of integers modulo $12$.

The underlying sets of the ideals of $\struct {\Z_{12}, +, \times}$ are:

$\set {0, 2, 4, 6, 8, 10}$

$\set {0, 3, 6, 9}$

$\set {0, 4, 8}$

$\set {0, 6}$