##  [Global Dimension](/global-dimension) 

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

  

 [![Algebra](/sites/default/files/styles/large/public/2026-01/Algebra.png.webp?itok=3pHxBnUF)](/topic-specific-dictionaries/pure-mathematics/algebra)

- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The supremum of projective dimensions of all objects in a category (or of all modules over a ring), possibly infinite; it quantifies the maximal homological complexity present in the ambient structure.