Bourbaki

Example 1

Tag 0036, permanent. Cite it as [Bourbaki, Tag 0036].

Algebra, VIII, p. 45, § 3. Simple Modules

The module AsA_s is a simple A-module if and only if A is a field (I, §9, No. 1, p. 115, Theorem 1). The simple A-modules are then the vector spaces of dimension 1 over the field 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, §9, No. 1, p. 115, Theorem 1 not in this corpus
Transcribed from the printed edition, 2023, Springer Nature. Not translated.