##  [Schanuel's Lemma](/index.php/schanuels-lemma) 

  ##  [Schanuel's Lemma](https://algebra.quantumdictionary.io/schanuels-lemma-0) 

  

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**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A homological algebra lemma that compares two short exact sequences ending at the same module with projective (or free) middle terms, asserting a stable isomorphism between the corresponding syzygy modules: K ⊕ P' ≅ K' ⊕ P.