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7.10.4.9 letplaceGBasis
Procedure from library freegb.lib (see freegb_lib).
- Usage:
- letplaceGBasis(I); I an ideal/module
- Return:
- ideal/module
- Assume:
- basering is a Letterplace ring, input consists of Letterplace polynomials
- Purpose:
- compute the two-sided Groebner basis of I via Letterplace algorithm (legacy routine)
- Note:
- the degree bound for this computation is read off the letterplace
structure of basering
Example:
| | LIB "freegb.lib";
ring r = 0,(x,y,z),Dp;
int degree_bound = 5;
def R = freeAlgebra(r, 5);
setring R;
ideal I = -x*y-7*y*y+3*x*x, x*y*x-y*x*y;
ideal J = letplaceGBasis(I);
J;
==> J[1]=3*x*x-x*y-7*y*y
==> J[2]=22*x*y*y-3*y*x*y-21*y*y*x+7*y*y*y
==> J[3]=3*x*y*x-22*x*y*y+21*y*y*x-7*y*y*y
==> J[4]=22803*y*y*y*x+19307*y*y*y*y
==> J[5]=1933*y*y*x*y+2751*y*y*y*x+161*y*y*y*y
==> J[6]=y*y*y*y*y
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