Ideals of Ring of Integers Modulo m/Examples/Order 12
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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:
- $\set {0, 2, 4, 6, 8, 10}$
- $\set {0, 3, 6, 9}$
- $\set {0, 4, 8}$
- $\set {0, 6}$
Sources
- 1969: C.R.J. Clapham: Introduction to Abstract Algebra ... (previous) ... (next): Chapter $5$: Rings: $\S 21$. Ideals: Example $36$