ApCoCoA-1:Weyl.WRGB: Difference between revisions
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<see>Weyl.WNormalForm</see> | <see>Weyl.WNormalForm</see> | ||
<see>Weyl.WGB</see> | <see>Weyl.WGB</see> | ||
<see>Groebner | <see>Introduction to Groebner Basis in CoCoA</see> | ||
</seealso> | </seealso> | ||
<types> | <types> | ||
<type> | <type>apcocoaserver</type> | ||
<type>groebner</type> | <type>groebner</type> | ||
</types> | </types> | ||
Revision as of 16:16, 23 April 2009
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 implementation in CoCoALib into reduced Groebner Basis. If GB is not a Groebner basis then the output will not be reduced Groebner basis. In fact, this function reduces a list GB of Weyl polynomals using Weyl.WNR into a new list L such that Ideal(L) = Ideal(GB).
This function is used inside the function Weyl.WGB to get a list of minimal Groebner basis elements for the ideal I.
@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 appropraite ring Use A1; L:=[x,d,1] Weyl.WRGB(L); [1] -------------------------------
See also
Introduction to Groebner Basis in CoCoA
