Example 3

Tag 0004, permanent. Cite it as [Bourbaki, Tag 0004].

Algebra, VIII, p. 2, § 1. Artinian Modules and Noetherian Modules

We will see further on that the $\mathbf{Z}$ -module $\mathbf{Z}$ is Noetherian but not

Artinian (VIII, p. 5, Example 3) $.*$

Bourbaki sets the proof directly after the statement, and the corpus does not separate them, so what is above is the statement and its proof together.

Cited by

Nothing.

Cites

VIII, p. 5, Example 3