Proposition 15.79.6. Let $R$ be a Noetherian ring. The following are equivalent

$R$ is regular of finite dimension,

$D_{perf}(R)$ has a strong generator, and

$R$ is a strong generator for $D_{perf}(R)$.

Proposition 15.79.6. Let $R$ be a Noetherian ring. The following are equivalent

$R$ is regular of finite dimension,

$D_{perf}(R)$ has a strong generator, and

$R$ is a strong generator for $D_{perf}(R)$.

**Proof.**
This is a formal consequence of Lemmas 15.78.1, 15.79.2, and 15.79.5 as well as Derived Categories, Lemma 13.36.6.
$\square$

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