Example 1

Tag 0CKO, permanent. Cite it as [Bourbaki, Tag 0CKO].

Commutative Algebra, chapter VIII, § 1. Dimension de Krull d’un anneau

Suppose A noetherian and integral. Then one has $Z^0 = \mathbf{Z}.[\mathrm{Spec}(A)]$ ; one has $\mathscr{C}^{>0} = \mathscr{C}$ and $z^0(M) = \mathrm{rg}(M).[Spec(A)]$ . The modules of type $\mathscr{C}^{>1}$ are therefore the torsion modules.

Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.

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