Bourbaki

Remark 1

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

Algebra, chapter IV, § 5. Symmetric tensors and polynomial mappings

— In the same way we see that if MM is a finitely generated free AA-module, then the graded algebra S(M)∗grS(M)^{*gr} defined in III, p. 593, may be identified with TS(M∗)TS(M^*).

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.