Bourbaki

Corollary

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

Algebra, chapter IV, § 6. Symmetric functions

— The canonical homomorphism of A into the universal decomposition algebra of the monic polynomial f∈A[X]f \in A[X] is injective.

For the unit element of EfE_f forms part of a basis of the A-module EfE_f.

Bourbaki puts the proof directly after the statement, 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, 2003, Springer. Not translated.