Remark 1
Tag 00KF, permanent. Cite it as [Bourbaki, Tag 00KF].
Algebra, VIII, p. 338, § 17. Reduced Norms and Traces
The endomorphism of M coincides with what we called the cotranspose of in III, §8, No. 6, p. 532.
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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