##  [Depth](/depth) 

  ##  [Depth](https://algebra.quantumdictionary.io/depth-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

An invariant of a module (or local ring) given by the length of a maximal regular sequence contained in a given ideal or the maximal length of nonzerodivisor sequences; it measures nondegeneracy of relations.