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D.4.27.2 primdecZM
Procedure from library primdecint.lib (see primdecint_lib).
- Usage:
- primdecZM(N); N module
The coefficients must be ZZ.
- Return:
- a list pr of primary modules and their associated primes:
| | pr[i][1] the i-th primary component,
pr[i][2] the i-th prime component.
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Example:
| | LIB "primdecint.lib";
ring R=integer,(x,y),(c,lp);
module N=[0,0,xy2-x2-xy],[0,y,x],[0,x,2xy-x],[x,0,-xy],[0,0,18x];
primdecZM(N);
==> [1]:
==> [1]:
==> _[1]=[0,0,x]
==> _[2]=[0,1]
==> _[3]=[x]
==> [2]:
==> _[1]=x
==> [2]:
==> [1]:
==> _[1]=[0,0,y3]
==> _[2]=[0,0,18x]
==> _[3]=[0,0,xy2]
==> _[4]=[0,0,x2+xy]
==> _[5]=[0,y,x]
==> _[6]=[0,x,2xy-x]
==> _[7]=[y3]
==> _[8]=[x,0,-xy]
==> [2]:
==> _[1]=y
==> _[2]=x
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