Bourbaki

Remark 2

Tag 00R5, permanent. Cite it as [Bourbaki, Tag 00R5].

Algebra, VIII, p. 86, § 5. Commutation

It follows from the proof that the mapping

∑λ∈SMVλ⊗DλoSλ⟶M \sum_{\lambda\in\mathscr{S}_M}V_{\lambda}\otimes_{D^o_{\lambda}}S_{\lambda}\longrightarrow M

induced by the canonical description of M is a description of the countermodule of M.

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

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