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Definition 10.87.7. Let $M$ be an $R$-module. We say that $M$ is Mittag-Leffler if the equivalent conditions of Proposition 10.87.6 hold.

Comments (2)

Comment #5528 by Roman Bezrukavnikov on

In Proposition 059E we a given a module M and a directed system having M as a limit, while in this definition we are only given a module. Is the meaning here that there exists a directed system for which equivalent conditions of the Proposition hold?

Comment #5531 by on

Yes, but the condition is independent of the choice by part (1) of the proposition.

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