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5.1.145 slimgb
Syntax:
slimgb (ideal_expression)
slimgb (module_expression)Type:- ideal or module
Purpose:- slim Groebner bases
Returns a Groebner basis of an ideal or module with respect to the monomial ordering of the basering (which has to be global).
Note:- The algorithm is designed to keep polynomials slim (short with small coefficients). For details see
https://www.singular.uni-kl.de/reports/35/paper_35_full.ps.gz. A reduced Groebner basis is returned if option(redSB) is set (see option(redSB)). To view the progress of long running computations, use option(prot) (see option(prot)). Warning:- Groebner basis computations with inexact coefficients can not be trusted due to rounding errors.
Example:ring r=2,(x,y,z),lp; poly s1=z*(x*y+1); poly s2=x2+x; poly s3=y2+y; ideal i=s1,s2,s3; slimgb(i); ==> _[1]=y2+y ==> _[2]=x2+x ==> _[3]=yz+z ==> _[4]=xz+z