Bourbaki

Example

Tag 0095, permanent. Cite it as [Bourbaki, Tag 0095].

Algebra, VIII, p. 136, § 8. Semisimple Rings

Let G be a finite group and K a commutative field. ∗*We will see further on (VIII, p. 401, Corollary 1) that the algebra K[G] of the group G over the field K is a semisimple ring if and only if the characteristic exponent of K is prime to the order of G.∗G.*

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

Transcribed from the printed edition, 2023, Springer Nature. Not translated.