Definition:Saturation of Multiplicatively Closed Subset of Ring

Definition
Let $A$ be a commutative ring with unity.

Let $S\subset A$ be a multiplicatively closed subset.

The saturation of $S$ is the set of divisors of elements of $S$.

Also see

 * Definition:Saturated Multiplicatively Closed Subset of Ring
 * Saturation of Multiplicatively Closed Subset of Ring is Closure Operation