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D.4.18.13 GTZopt

Procedure from library mprimdec.lib (see mprimdec_lib).

Usage:
GTZopt (N[, check]); module N[, module check]

Return:
list l
the minimal primary decomposition of the module N,
computed by a generalized and optimized 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=GTZopt(N);
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