##  [Stable Theory](/stable-theory) 

  ##  [Stable Theory](https://algebra.quantumdictionary.io/stable-theory-0) 

  

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- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A first-order theory T is stable if for every cardinal κ (or in the classical definition for κ = |T|) the number of complete types over any parameter set of size κ is at most κ; equivalently, T does not have the order property and admits a well-behaved notion of independence (forking) used in classification theory.