##  [Hochschild Homology](/hochschild-homology) 

  ##  [Hochschild Homology](https://algebra.quantumdictionary.io/hochschild-homology-0) 

  

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- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A homology theory for associative algebras (and more generally for bimodules) that measures self-interaction, traces, and deformation information; Hochschild homology HH_*(A) is computed from the Hochschild chain complex of A with coefficients in itself.