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D.4.4.4 modDec

Procedure from library mprimdec.lib (see mprimdec_lib).

Usage:

modDec (N[, i]); module N, int i

Return:

list l
a minimal primary decomposition of N
computed by an generalized version of
the algorithm of Schimoyama/Yokoyama,
if i=1 is given, the factorizing Groebner is used

Example:

 
LIB "mprimdec.lib";
ring r=0,(x,y,z),dp;
module N=x*gen(1)+ y*gen(2),
x*gen(1)-x2*gen(2);
list l=modDec(N);
l;
→ [1]:
→    [1]:
→       _[1]=x*gen(1)+y*gen(2)
→       _[2]=x*gen(2)-gen(1)
→    [2]:
→       _[1]=x2+y
→ [2]:
→    [1]:
→       _[1]=gen(2)
→       _[2]=x*gen(1)
→    [2]:
→       _[1]=x

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