##  [Cartan–Eilenberg Resolution](/cartan-eilenberg-resolution) 

  ##  [Cartan–Eilenberg Resolution](https://algebra.quantumdictionary.io/cartan-eilenberg-resolution-0) 

  

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- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A Cartan–Eilenberg resolution is a double complex (a bi-resolution) built from projective (or injective) objects that simultaneously resolves a module both horizontally and vertically; it is used to compute derived functors of composed functors and to produce the spectral sequences that relate these derived functors.