Definition:Generated Ideal of Ring/Definition 2
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Let $R$ be a commutative ring with unity.
Let $S \subseteq R$ be a subset.
The ideal generated by $S$ is the set of all linear combinations of elements of $S$.
- 1972: A.G. Howson: A Handbook of Terms used in Algebra and Analysis ... (previous) ... (next): $\S 6$: Rings and fields