Definition 15.69.1. Let $R$ be a ring. Denote $D(R)$ the derived category of the abelian category of $R$-modules.

An object $K$ of $D(R)$ is

*perfect*if it is quasi-isomorphic to a bounded complex of finite projective $R$-modules.An $R$-module $M$ is

*perfect*if $M[0]$ is a perfect object in $D(R)$.

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