Remark 56.3.6 (0GNY)—The Stacks project

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Part 3: Topics in Scheme Theory
Chapter 56: Functors and Morphisms
Section 56.3: Functors between categories of modules
Remark 56.3.6 (cite)

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Remark 56.3.6. In the situation of Lemma 56.3.3 suppose that $F$ corresponds to $K$ . Then $F$ sends finite $A$ -modules to finite $B$ -modules $\Leftrightarrow$ $K$ is finite as a $B$ -module.

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