##  [Alternativity](/alternativity) 

  ##  [Alternativity](https://puremath.quantumdictionary.io/alternativity-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A property of a (not necessarily associative) algebra stating that the associator (a,b,c)=(ab)c−a(bc) vanishes whenever two adjacent arguments coincide, i.e. (a,a,b)=(b,a,a)=0 for all a,b.