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D.12.4.12 updatePairs
Procedure from library teachstd.lib (see teachstd_lib).
- Usage:
- updatePairs(P,S,h); P list, S ideal or module, h poly or vector
P a list of pairs of polys or vectors (obtained from pairset)
- Return:
- list Q,
Q[1] = the pairset P enlarged by all pairs (f,h), f from S,
without pairs for which the product or the chain criterion applies
Q[2] = intvec v, v[1]= # product criterion, v[2]= # chain criterion
Example:
| | LIB "teachstd.lib";
ring R1=0,(x,y,z),(c,dp);
ideal S = x2y+x2,y3+xyz;
poly h = x2y+xyz;
list P = pairset(S)[1];
P;"";
==> [1]:
==> _[1]=x2y+x2
==> _[2]=y3+xyz
==>
updatePairs(P,S,h);"";
==> [1]:
==> [1]:
==> _[1]=x2y+x2
==> _[2]=y3+xyz
==> [2]:
==> _[1]=x2y+x2
==> _[2]=x2y+xyz
==> [2]:
==> 0,1
==>
module T = [x2y3-z2,x2y],[x2y4+z3,x2+y2];
P = pairset(T)[1];
P;"";
==> [1]:
==> _[1]=[x2y3-z2,x2y]
==> _[2]=[x2y4+z3,x2+y2]
==>
updatePairs(P,T,[x2+x2y,y3+xyz]);
==> [1]:
==> [1]:
==> _[1]=[x2y3-z2,x2y]
==> _[2]=[x2y4+z3,x2+y2]
==> [2]:
==> _[1]=[x2y3-z2,x2y]
==> _[2]=[x2y+x2,y3+xyz]
==> [2]:
==> 0,1
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