Difference between revisions of "ApCoCoA1:BB.BBasis"
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Revision as of 10:14, 22 April 2009
BBasis
border basis of a zerodimensional 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 zerodimensional 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] 