Saturation and small generation

Let \(\Sigma\) be a class of morphisms in \(C\). The saturation of \(\Sigma\), denoted \(\Sigma^s\), is the smallest saturated class containing \(\Sigma\). We say that a saturated class \(L\) is of small generation if \(L = \Sigma^s\) for some set of morphisms \(\Sigma\).