##  [Socle Computation](/socle-computation) 

  ##  [Socle Computation](https://algebra.quantumdictionary.io/socle-computation-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 procedure of determining the socle of a module or algebra: the socle is the sum of all minimal nonzero submodules (equivalently the largest semisimple submodule), typically computed by detecting simple submodules and summing them.