Remark 1
Tag 0DM3, permanent. Cite it as [Bourbaki, Tag 0DM3].
Algebra, chapter IX, § 7. Formes hermitiennes et corps ordonnés
When J is the identity, we recover the notion of adjoint of a homomorphism defined in § 1, No. 8.
Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.
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