 ##  [Projective Resolution](/projective-resolution) 

  ##  [Projective Resolution](https://mathlogic.quantumdictionary.io/projective-resolution-0) 

  

 [![Mathematics & Logic Dictionary](/sites/default/files/styles/large/public/2026-01/Mathematics%20%26%20Logic.png.webp?itok=UhtTRPnp)](/topic-specific-dictionaries/natural-formal-sciences/mathematics-logic)

- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A chain complex of projective modules (or projective objects in an abelian category) together with a quasi‑isomorphism (or augmentation) from the complex to a given module M that is exact except at degree zero; used to compute derived functors such as Ext and Tor.