Corollary

Tag 00KR, permanent. Cite it as [Bourbaki, Tag 00KR].

Algebra, VIII, p. 344, § 17. Reduced Norms and Traces

The linear subspace of A generated by the elements of the form $xy-yx$ , where $x$ and $y$ run through A, is a hyperplane, the kernel of the nonzero linear form Trd $_{A/K}$ .

Bourbaki sets the proof directly after the statement, and the corpus does not separate them, so what is above is the statement and its proof together.

Cited by

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Cites

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