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D.1.1 qslimgb
Procedure from library standard.lib (see standard_lib).
- Usage:
- qslimgb(i); i ideal or module
- Return:
- same type as input, a standard basis of i computed with slimgb
- Note:
- Only as long as slimgb does not know qrings qslimgb should be used
in case the basering is (possibly) a quotient ring.
The quotient ideal is added to the input and slimgb is applied.
Example:
| | ring R = (0,v),(x,y,z,u),dp;
qring Q = std(x2-y3);
ideal i = x+y2,xy+yz+zu+u*v,xyzu*v-1;
ideal j = qslimgb(i); j;
==> j[1]=y-1
==> j[2]=x+1
==> j[3]=(v)*z+(v2)*u+(-v-1)
==> j[4]=(-v2)*u2+(v+1)*u+1
module m = [x+y2,1,0], [1,1,x2+y2+xyz];
print(qslimgb(m));
==> y2+x,x2+xy,1, 0, 0, -x, -xy-xz-x,
==> 1, y, 1, y3-x2,0, y2-1, y2z-xy-x-z,
==> 0, 0, xyz+x2+y2,0, y3-x2,x2y2+x3z+x2y,x3z2-x3y-2*x3-xy2
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