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Computing Groebner Basis

Computing Groebner Basis

Gina Upperman · Tue Apr 17, 2007 7:55 pm

Hi All -

I am a new user to Singular, and I wanted to compute the Groebner basis and transform matrix for a set of polynomials.

(Given a set of polynomials {H1,Â…,HN}, there exist a Grobner basis {B1,Â…,BN} and a transform matrix Wij, such that: Bi(z) = sum{ Wij(z) Hj(z) })

I saw some examples / code about Groebner Basis on the site: http://www.singular.uni-kl.de/Manual/la ... htm#SEC571, but am having trouble figuring out what it means.

Does anyone have any suggestions for a way to input a series of polynomials into Singular, to obtain the Groebner bases and transform matrix? Again, I am new to Singular, so any advice or suggestions would be much appreciated.

Thank you,
Gina Upperman

Re: Groebner basis and transform matrix

hannes · Mon Apr 23, 2007 2:22 pm

liftstd is the command you are looking for:
see http://www.singular.uni-kl.de/Manual/la ... ng_234.htm