Example 1

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

Algebra, VIII, p. 441, Appendix 1. Algebras without Unit Element

The radical of the $k$ -algebra End $^f_k(V)$ is reduced to 0 (VIII, p. 436, Example 1) $.*$ The same holds for the algebras $\mathscr{C}_0(T)$ and $L^1(\mathbf{R}).*$

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

VIII, p. 436, Example 1