 ##  [Coinduction](/coinduction) 

  ##  [Coinduction](https://algebra.quantumdictionary.io/coinduction-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 dual construction to induction that produces objects over a larger context by a limit or Hom-based universal property, typically realized as Hom_R(S, −) or as a right adjoint to restriction, yielding the 'most general' object compatible with the smaller-context data in a limit-like way.