Ideals of Ring of Integers Modulo m/Examples/Order 12

Examples of Ideals of Ring of Integers Modulo m
Let $\struct {\Z_{12}, +, \times}$ denote the ring of integers modulo $12$.

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


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


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


 * $\set {0, 4, 8}$


 * $\set {0, 6}$