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

From ApCoCoAWiki

(fixed formula tag) |
(update w.r.t. http://www.apcocoa.org/forum/viewtopic.php?f=20&t=918) |
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<description> | <description> | ||

− | This function computes a Groebner Basis for | + | This function computes a Groebner Basis for a left Ideal in a Weyl Algebra. It uses the ApCoCoAServer and needs currently a patched cocoa5.cpkg. Please |

+ | considerthe corresponding thread in the forum for details. | ||

− | + | <example> | |

+ | A := $weyl.NewRationalWeylAlgebra(3); | ||

− | + | ||

+ | Use Var(A.Identifier); | ||

+ | |||

+ | P := $weyl.NewWeylPolynom( x[1]^2 + 3); | ||

+ | Q := $weyl.NewWeylPolynom( x[2]d[1]^2 + 3); | ||

+ | |||

+ | --I; | ||

+ | |||

+ | --CurrentRing(); | ||

+ | |||

+ | I := $weyl.NewWeylLeftIdeal([P,Q]); | ||

+ | |||

+ | $weyl.GBasis(I); | ||

+ | </example> | ||

</description> | </description> | ||

<seealso> | <seealso> |

## Revision as of 10:24, 17 April 2008

## Weyl.GBasis

computing a Groebner basis in a weyl algebra.

### Syntax

Weyl.GBasis(I):LIST

### Description

This function computes a Groebner Basis for a left Ideal in a Weyl Algebra. It uses the ApCoCoAServer and needs currently a patched cocoa5.cpkg. Please

considerthe corresponding thread in the forum for details.

#### Example

A := $weyl.NewRationalWeylAlgebra(3); Use Var(A.Identifier); P := $weyl.NewWeylPolynom( x[1]^2 + 3); Q := $weyl.NewWeylPolynom( x[2]d[1]^2 + 3); --I; --CurrentRing(); I := $weyl.NewWeylLeftIdeal([P,Q]); $weyl.GBasis(I);

### See also