ApCoCoA-1:BB.BBasis

BBasis

border basis of a zero-dimensional ideal

Syntax

BBasis(I:IDEAL):LIST of POLY

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.

Let <formula>\sigma</formula> be a degree compatible term ordering. The function BBasis calls the ApCoCoAServer to compute the <formula>\mathcal{O}_\sigma(I)</formula>-border basis of the zero-dimensional input ideal I and returns it as a list of polynomials.

The return value will be the computed border basis.

Example

Use Q[x, y], DegLex;
I := Ideal([x^2, xy + y^2]);
BB := BBasis(I);
BB;

-------------------------------
[xy + y^2, x^2, y^3, xy^2]
-------------------------------

GBasis5, and more

BB.BorderBasis