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D.4.15.6 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 Gianni, 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]=gen(2)
==> _[2]=x*gen(1)
==> [2]:
==> _[1]=x
==> [2]:
==> [1]:
==> _[1]=x*gen(1)+y*gen(2)
==> _[2]=x*gen(2)-gen(1)
==> [2]:
==> _[1]=x2+y
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