##  [Derived Equivalence](/index.php/derived-equivalence) 

  ##  [Derived Equivalence](https://algebra.quantumdictionary.io/derived-equivalence-0) 

  

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- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

An equivalence between derived categories (typically bounded or unbounded derived categories of abelian or differential graded contexts) that identifies objects and morphisms up to quasi-isomorphism and preserves the triangulated structure, thus matching homological behavior across different settings.