ApCoCoA-1:Weyl.WRedGB
Weyl.WRedGB
Computes reduced Groebner basis of a D-ideal in Weyl algebra A_n.
Syntax
Weyl.WRedGB(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).
This function is replaced by the function Weyl.WRGB inside the function Weyl.WGB to get a list of minimal Groebner basis elements for the ideal I. Note: This function is faster than Weyl.WRGB for a list GB of large size.
@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.WRedGB(L); [1] -------------------------------
See also
Introduction to Groebner Basis in CoCoA
