Bourbaki

Exercise 8, § 2

Tag 002S, permanent. Cite it as [Bourbaki, Tag 002S].

Algebra, VIII, p. 40

Let A be a left Artinian ring, and let M and N be two supplementary submodules in the A-module AsnA^n_s. If M is a free A-module, then N is a free A-module.

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Transcribed from the printed volume. Not translated.