ApCoCoA-1:Weyl.WRGB

Weyl.WRGB

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

Syntax

Weyl.WRGB(GB:LIST):LIST

Description

This function converts a Weyl Groebner basis GB computed by ApCoCoAServer into the reduced Weyl 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]
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See also

Weyl.WNormalForm

Weyl.WGB

Weyl.WRGBS

Weyl.WRedGB

Introduction to Groebner Basis in CoCoA

Introduction to CoCoAServer