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 Post subject: Find how Groebner basis is constructed from polynomials
PostPosted: Thu Sep 01, 2016 10:16 am 

Joined: Fri Aug 26, 2016 10:54 am
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Suppose there is a set I = {i1, i2, …, in} of polynomials and a Groebner basis J = {j1, j2, …, jm} of I. Is there a way in Singular to find q1, q2, …, qn for each polynomial jk in J such that the following holds (i.e., represent jk as a combination of polynomials in I)?

jk = q1*i1 + q2*i2 + … + qn*in


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 Post subject: Re: Find how Groebner basis is constructed from polynomials
PostPosted: Sat Sep 03, 2016 7:02 pm 

Joined: Wed May 25, 2005 4:16 pm
Posts: 178
lift does this
http://www.singular.uni-kl.de/Manual/4-0-3/sing_334.htm
resp. liftstd
http://www.singular.uni-kl.de/Manual/4-0-3/sing_335.htm


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 Post subject: Re: Find how Groebner basis is constructed from polynomials
PostPosted: Mon Sep 05, 2016 2:26 am 
I tried the lift function and it works. Thank you very much.


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