Bourbaki

Remark 2

Tag 06F1, permanent. Cite it as [Bourbaki, Tag 06F1].

Algebra, chapter IV, § 6. Symmetric functions

Let ρ:A→B\rho : A \to B be a ring homomorphism. Def. / implies directly the formula

res⁡p,q(ρf,ρg)=ρ(res⁡p,q(f,g)). \operatorname{res}_{p,q}(\rho f, \rho g) = \rho(\operatorname{res}_{p,q}(f, g)) .

Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.

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Transcribed from the printed edition, 2003, Springer. Not translated.