# ApCoCoA-1:Weyl.WRGB

From ApCoCoAWiki

## Weyl.WRGB

Reduced Groebner basis of an ideal `I` in Weyl algebra `A_n`.

### Syntax

Weyl.WRGB(GB:LIST):LIST

### Description

This function converts Groebner basis `GB` computed by ApCoCoAServer into the reduced Groebner Basis. If `GB` is not a Groebner basis then the output will not be the reduced Groebner basis. In fact, this function reduces a list `GB` of Weyl polynomials using Weyl.WNR into a new list L such that Ideal(L) = Ideal(GB), every polynomial is reduced with respect to the remaining polynomials in the list L and leading coefficient of each polynomial in L is 1.

@param

*GB*Groebner Basis of an ideal in the Weyl algebra.@result The reduced Groebner Basis of the given ideal.

#### Example

A1::=QQ[x,d]; --Define appropriate ring Use A1; L:=[x,d,1]; Weyl.WRGB(L); [1] -------------------------------

### See also

Introduction to Groebner Basis in CoCoA