Definition:Generated Ideal of Ring

Definition
Let $\left({R, +, \circ}\right)$ be a ring.

Let $S \subseteq R$ be a subset.

Also see

 * Equivalence of Definitions of Generated Ideal of Ring
 * Definition:Generator of Ideal
 * Definition:Generated Subring
 * Generated Ideal of Ring is Closure Operator

Generalizations

 * Definition:Generated Submodule