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D.7.1.8 linearpart

Procedure from library presolve.lib (see presolve_lib).

Usage:

linearpart(id); id=ideal/module

Return:

generators of id of total degree <= 1

Example:

 
LIB "presolve.lib";
ring r=0,(x,y,z),dp;
ideal i=1+x+x2+x3,3,x+3y+5z;
linearpart(i);
→ _[1]=3
→ _[2]=x+3y+5z
module m=[x,y,z],x*[x3,y2,z],[1,x2,z3,0,1];
show(linearpart(m));
→ // module, 1 generator(s)
→ [x,y,z]

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