##  [Hamel Basis](/hamel-basis) 

  ##  [Hamel Basis](https://puremath.quantumdictionary.io/hamel-basis-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A subset B of a vector space such that every vector is uniquely expressible as a finite linear combination of elements of B; equivalently, B is a maximal linearly independent set and provides an algebraic basis independent of any topology.