Bourbaki

Definition 4

Tag 053Q, permanent. Cite it as [Bourbaki, Tag 053Q].

Commutative Algebra, chapter VII, § 4. Modules over integrally closed Noetherian domains

If TT is a finitely generated torsion AA-module, the divisor:

χ(T)=∑p∈Plp(T)⋅p. \chi(T) = \sum_{p \in P} l_p(T) \cdot p.

is called the content of TT.

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

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Transcribed from the printed volume. Not translated.