Bourbaki

Corollary 1

Tag 060P, permanent. Cite it as [Bourbaki, Tag 060P].

Algebra, chapter III, § 4. Tensor products of algebras

For the canonical homomorphism of E⊗KFE \otimes_K F into G to be bijective, it is necessary and sufficient that there exist a basis of E over K which is a basis of the (right or left) F-module G.

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

Cited by

Nothing.

Cites

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Transcribed from the printed edition, 1998, Springer. Not translated.