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5.1.141 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
http://www.mathematik.uni-kl.de/~zca/Reports_on_ca/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
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See
groebner;
ideal;
option;
ring;
std.
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