Bourbaki

Definition 6

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

Algebra, chapter X, § 2. Complexes de A-modules

A complex CC is said to be split if it satisfies the equivalent conditions of Prop. 6.

An endomorphism ss of CC satisfying condition (ii) of Prop. 6 is called a splitting of CC.

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

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