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exact division of multivariate polynomial http://www.singular.unikl.de/forum/viewtopic.php?f=10&t=2473 
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Author:  mickael [ Mon Nov 24, 2014 3:42 pm ] 
Post subject:  exact division of multivariate polynomial 
Hi all, I have two multivariate polynomials A and B over the integer ring. I know that B divides exactly A. I need to perform this division using the monomial ordering that I choose. I can't find in the documentation any exact division function. The following code does not work : int degre=4; ring r=integer,(x,y,z,t),lp; poly s1=(1+x+y+z+t)^5; poly s2=s1+1; poly p=s2*s1; poly q=p/s2; I obtain the following message. ? division over a coefficient domain only implemented for terms ? error occurred in or before STDIN line 6: `poly q=p/s2;` …. If I replace r by the following definition, it works : ring r=0,(x,y,z,t),lp; Does it exist a function for exact division? Mickaël 
Author:  levandov [ Thu Oct 01, 2015 4:23 pm ] 
Post subject:  Re: exact division of multivariate polynomial 
Hi, there's a function division() which does division with rest. Googling through Manual or checking the index of the Manual is a good idea to try. If you want to know that q divides p exactly, this could be checked via NF(p,q); it gives 0 iff p = a*q for some a. Cheers 
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