Bourbaki

Remark 2

Tag 003C, permanent. Cite it as [Bourbaki, Tag 003C].

Algebra, VIII, p. 46, § 3. Simple Modules

We can give an example of a noncommutative ring A and two distinct maximal left ideals m\mathfrak{m} and m′\mathfrak{m}' of A such that the A-modules As/mA_s/\mathfrak{m} and As/m′A_s/\mathfrak{m}' are isomorphic (VIII, p. 52, Exercise 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.

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Cites

Transcribed from the printed edition, 2023, Springer Nature. Not translated.