##  [SAGBI Basis](/sagbi-basis) 

  ##  [SAGBI Basis](https://algebra.quantumdictionary.io/sagbi-basis-0) 

  

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**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A canonical generating set for a subalgebra of a polynomial ring with respect to a fixed term order; SAGBI (Subalgebra Analogue to Gröbner Bases for Ideals) bases describe generators whose leading terms generate the subalgebra of leading terms.