##  [Injective Dimension](/injective-dimension) 

  ##  [Injective Dimension](https://algebra.quantumdictionary.io/injective-dimension-0) 

  

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- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The minimal nonnegative integer n (or infinity) such that an object admits an injective resolution of length n; equivalently, the smallest length of a chain of injective objects that resolves the object, measuring its distance from being injective.