Corollary 1

Tag 0039, permanent. Cite it as [Bourbaki, Tag 0039].

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

If the ring A is not reduced to 0, then there exist simple A-modules.

Indeed, by Krull’s theorem (I, §8, No. 6, p. 104, Theorem 1), there exist maximal left ideals of A.

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

I, §8, No. 6, p. 104, Theorem 1 not in this corpus