Corollary

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

Algebra, VIII, p. 383, § 20. Linear Representations of Algebras

If the field K is perfect, then properties (i) through (iii) hold.

Since the field is perfect, the extension Z of K is separable (V, §15, No. 5, p. 125, Theorem 3). Property (iii) then follows from Corollary 3 of VIII, p. 323.

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

Nothing.

Cites

V, §15, No. 5, p. 125, Theorem 3 not in this corpus
Corollary 3 of VIII, p. 323