ScalingStacks

Proposition 9.44. The $F_{R}$-module represented by any finite wedge $R^{\lor n}$ is a compact generator of $\Psi(F_{R})$ and the $F^{\infty}_{R}$-module represented by the countably infinite wedge $R^{\lor\infty}$ is a compact generator of $\Psi(F^{\infty}R)$. In particular, we have equivalences $\Psi(R)\simeq\Psi(\End_{R}(R^{\lor n}))\simeq\Psi(F_{R})$ and $\Psi(\End_{R}(R^{\lor\infty}))\simeq\Psi(F^{\infty}_{R})$.