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D.4.2.4 nselect

Procedure from library elim.lib (see elim_lib).

Usage:

nselect(id,n[,m]); id a module or ideal, n, m integers

Return:

generators of id not containing the variable n [up to m]

Example:

 
LIB "elim.lib";
ring r=0,(x,y,t,s,z),(c,dp);
ideal i=x-y,y-z2,z-t3,s-x+y3;
nselect(i,3);
→ _[1]=x-y
→ _[2]=-z2+y
→ _[3]=y3-x+s
module m=i*(gen(1)+gen(2));
show(m);
→ // module, 4 generator(s)
→ [x-y,x-y]
→ [-z2+y,-z2+y]
→ [-t3+z,-t3+z]
→ [y3-x+s,y3-x+s]
show(nselect(m,3,4));
→ // module, 2 generator(s)
→ [x-y,x-y]
→ [-z2+y,-z2+y]

See also: select; select1.


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