Lemma 10.91.4 (059T)—The Stacks project

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Part 1: Preliminaries
Chapter 10: Commutative Algebra
Section 10.91: Examples and non-examples of Mittag-Leffler modules
Lemma 10.91.4 (cite)

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Lemma 10.91.4. Let $R$ be a Noetherian ring and $n$ a positive integer. Then the $R$ -module $M = R[[t_1, \ldots , t_ n]]$ is flat and Mittag-Leffler.

Proof. As an $R$ -module, we have $M = R^ A$ for a (countable) set $A$ . Hence this lemma is a special case of Lemma 10.91.3. $\square$

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