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D.15.13.14 getModuleGrading
Procedure from library multigrading.lib (see multigrading_lib).
- Usage:
- getModuleGrading(m), 'm' module/vector
- Return:
- integer matrix of the multiweights of free module generators attached to 'm'
Example:
| | LIB "multigrading.lib";
ring R = 0, (x,y), dp;
intmat M[2][2]=
1, 1,
0, 2;
intmat T[2][5]=
1, 2, 3, 4, 0,
0, 10, 20, 30, 1;
setBaseMultigrading(M, T);
ideal I = x, y, xy^5;
isHomogeneous(I);
==> 1
intmat V = multiDeg(I); print(V);
==> 1 1 10
==> 0 2 10
module S = syz(I); print(S);
==> -y,x4y5,
==> x, 0,
==> 0, -1
S = setModuleGrading(S, V);
getModuleGrading(S) == V;
==> 1
vector v = getGradedGenerator(S, 1);
getModuleGrading(v) == V;
==> 1
isHomogeneous(v);
==> 1
print( multiDeg(v) );
==> 2,
==> 2
isHomogeneous(S);
==> 1
print( multiDeg(S) );
==> 2 10
==> 2 10
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