Difference between revisions of "ApCoCoA-1:Weyl.WRGB"
| Line 6: | Line 6: | ||
</syntax> | </syntax> | ||
<description> | <description> | ||
| + | <em>Please note:</em> The function(s) explained on this page is/are using the <em>ApCoCoAServer</em>. You will have to start the ApCoCoAServer in order to use it/them. | ||
| + | <par/> | ||
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 <ref>Weyl.WNR</ref> into a new list L such that Ideal(L) = Ideal(GB). | 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 <ref>Weyl.WNR</ref> into a new list L such that Ideal(L) = Ideal(GB). | ||
This function is used inside the function <ref>Weyl.WGB</ref> to get a list of minimal Groebner basis elements for the ideal I. | This function is used inside the function <ref>Weyl.WGB</ref> to get a list of minimal Groebner basis elements for the ideal I. | ||
| Line 15: | Line 17: | ||
<example> | <example> | ||
| − | A1::=QQ[x,d]; --Define | + | A1::=QQ[x,d]; --Define appropriate ring |
Use A1; | Use A1; | ||
L:=[x,d,1] | L:=[x,d,1] | ||
| Line 27: | Line 29: | ||
<see>Weyl.WGB</see> | <see>Weyl.WGB</see> | ||
<see>Introduction to Groebner Basis in CoCoA</see> | <see>Introduction to Groebner Basis in CoCoA</see> | ||
| + | <see>Introduction to CoCoAServer</see> | ||
</seealso> | </seealso> | ||
<types> | <types> | ||
Revision as of 12:19, 24 April 2009
Weyl.WRGB
Reduced Groebner basis of an ideal I in Weyl algebra A_n.
Syntax
Weyl.WRGB(GB:LIST):LIST
Description
Please note: The function(s) explained on this page is/are using the ApCoCoAServer. You will have to start the ApCoCoAServer in order to use it/them.
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 appropriate ring Use A1; L:=[x,d,1] Weyl.WRGB(L); [1] -------------------------------
See also
Introduction to Groebner Basis in CoCoA
