##  [Induction](/induction) 

  ##  [Induction](https://algebra.quantumdictionary.io/induction-0) 

  

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- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A universal construction that produces an object over a larger ambient context from one defined over a subcontext, characterized as a left adjoint to restriction (e.g., induction of modules or representations via tensoring with an induced algebra), yielding the 'freest' object subject to prescribed compatibilities.