D.4.4.13 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 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=GTZopt(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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&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; User manual for <a href="http://www.singular.uni-kl.de/"><i>Singular</i></a> version 2-0-4, October 2002,
generated by <a href="http://www.gnu.org/software/texinfo/"><i>texi2html</i></a>.
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