Singular Manual: primdecZM

D.4.28.2 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.

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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