# ApCoCoA-1:Weyl.WMul

From ApCoCoAWiki

## Weyl.GBasis

computing a Groebner basis in a weyl algebra.

### Syntax

Weyl.GBasis(I):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 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