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D.4.4.6 GTZmod
Procedure from library mprimdec.lib (see mprimdec_lib).
- Usage:
GTZmod (N[, check]); module N[, module check]
- Return:
list l
the minimal primary decomposition of the module N,
computed by a generalized version of the algorithm
of Gianny, Trager and Zacharias
- Note:
if the parameter check is given, only components
not containing check are computed
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=GTZmod(N);
→ 2
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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