##  [Torsion-Free Element](/torsion-free-element) 

  ##  [Torsion-Free Element](https://puremath.quantumdictionary.io/torsion-free-element-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

An element of an abelian group or module that is not torsion; equivalently, no nonzero integer (or prescribed nonzero scalar) annihilates it, indicating absence of finite-order obstructions.