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D.4.15.3 PrimdecB
Procedure from library mprimdec.lib (see mprimdec_lib).
- Usage:
- PrimdecB (N, p); pseudo-primary module N, isolated prime ideal p
- Return:
- list l
a (not necessarily minimal) primary decomposition of N
Example:
| | LIB "mprimdec.lib";
ring r=0,(x,y,z),dp;
module N=y*gen(1),y2*gen(2),yz*gen(2),yx*gen(2);
ideal p=y;
list l=PrimdecB(N,p);
l;
==> [1]:
==> [1]:
==> _[1]=y*gen(1)
==> _[2]=y*gen(2)
==> [2]:
==> _[1]=y
==> [2]:
==> [1]:
==> _[1]=y*gen(1)
==> _[2]=y*gen(2)
==> _[3]=x*gen(1)
==> _[4]=x*gen(2)
==> [2]:
==> _[1]=y
==> _[2]=x
==> [3]:
==> [1]:
==> _[1]=z*gen(1)
==> _[2]=z*gen(2)
==> _[3]=y*gen(1)
==> _[4]=x*gen(1)
==> _[5]=x*gen(2)
==> _[6]=y2*gen(2)
==> [2]:
==> _[1]=z
==> _[2]=y
==> _[3]=x
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