##  [Presentation Construction](/presentation-construction) 

  ##  [Presentation Construction](https://algebra.quantumdictionary.io/presentation-construction-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 process of describing an algebraic object (group, ring, algebra, module) by a set of generators together with defining relations, i.e., producing a surjection from a free object onto the object with the kernel generated by the listed relations; a presentation encodes a concrete combinatorial or algebraic description.