# Difference between revisions of "ApCoCoA-1:Weyl.WRGB"

From ApCoCoAWiki

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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