Bourbaki

Remark 1

Tag 0767, permanent. Cite it as [Bourbaki, Tag 0767].

Algebra, chapter VII, § 5. Endomorphisms of vector spaces

— A polynomial is coprime to χu\chi_u if and only if it is coprime to the minimal polynomial of uu (VII, p. 33, Cor. 2).

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.