Category:Chain Complexes
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This category contains results about Chain Complexes.
Definitions specific to this category can be found in Definitions/Chain Complexes.
Let $\AA$ be an abelian category.
A chain complex in $\AA$ is a family of objects:
- $\family {C_i}_{i \mathop \in \Z}$ of $\AA$
- $\family {d_i : C_i \to C_{i - 1} }_{i \mathop \in \Z}$
such that for all $i \in \Z$, the composition $d_{i - 1} \circ d_i$ is the zero morphism $0 : C_i \to C_{i - 2}$.
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