Top
Back: GTZopt
Forward: clrSBmod
FastBack: homolog_lib
FastForward: mregular_lib
Up: mprimdec_lib
Top: Singular 2-0-6 Manual
Contents: Table of Contents
Index: Index
About: About this document

D.4.4.14 zeroOpt

Procedure from library mprimdec.lib (see mprimdec_lib).

Usage:
zeroOpt (N[, check]); zero-dimensional module N[, module check]

Return:
list l
the minimal primary decomposition of a zero-dimensional 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,z,dp;
module N=z*gen(1),(z-1)*gen(2),(z+1)*gen(3);
list l=zeroOpt(N);
l;
==> [1]:
==>    [1]:
==>       _[1]=gen(1)
==>       _[2]=z*gen(2)-gen(2)
==>       _[3]=gen(3)
==>    [2]:
==>       _[1]=z-1
==> [2]:
==>    [1]:
==>       _[1]=z*gen(1)
==>       _[2]=gen(2)
==>       _[3]=gen(3)
==>    [2]:
==>       _[1]=z
==> [3]:
==>    [1]:
==>       _[1]=gen(1)
==>       _[2]=gen(2)
==>       _[3]=z*gen(3)+gen(3)
==>    [2]:
==>       _[1]=z+1


Top Back: GTZopt Forward: clrSBmod FastBack: homolog_lib FastForward: mregular_lib Up: mprimdec_lib Top: Singular 2-0-6 Manual Contents: Table of Contents Index: Index About: About this document
            User manual for Singular version 2-0-6, November 2004, generated by texi2html.