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D.4.4.3 PrimdecB

Procedure from library mprimdec.lib (see section 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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            User manual for Singular version 2-0-4, October 2002, generated by texinfo.