Example 5

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

Algebra, VIII, p. 454, Appendix 2. Determinants over a Noncommutative Field

We have $\mathbf{G}\mathbf{L}_1(D) = D^*$ , and Proposition 3 shows that we have det( $a$ ) $=\pi (a)$ for $a$ in $\mathbf{G}\mathbf{L}_1(D)$ .

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

Proposition 3