##  [Buchberger–Möller Algorithm](/buchberger-moller-algorithm) 

  ##  [Buchberger–Möller Algorithm](https://algebra.quantumdictionary.io/buchberger-moller-algorithm-0) 

  

 [![Algebra](/sites/default/files/styles/large/public/2026-01/Algebra.png.webp?itok=3pHxBnUF)](/topic-specific-dictionaries/pure-mathematics/algebra)

- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

An algorithm that constructs the interpolation ideal and a Gröbner basis from a finite set of points by incrementally building linear systems for monomial evaluations, using linear algebra to determine relations among monomials and produce bases of the vanishing ideal.