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D.4.15.5 zeroMod
Procedure from library mprimdec.lib (see mprimdec_lib).
- Usage:
- zeroMod (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 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,z,dp;
module N=z*gen(1),(z-1)*gen(2),(z+1)*gen(3);
list l=zeroMod(N);
==> 2
l;
==> [1]:
==> [1]:
==> _[1]=gen(1)
==> _[2]=gen(3)
==> _[3]=z*gen(2)-gen(2)
==> [2]:
==> _[1]=z-1
==> [2]:
==> [1]:
==> _[1]=gen(2)
==> _[2]=gen(3)
==> _[3]=z*gen(1)
==> [2]:
==> _[1]=z
==> [3]:
==> [1]:
==> _[1]=gen(1)
==> _[2]=gen(2)
==> _[3]=z*gen(3)+gen(3)
==> [2]:
==> _[1]=z+1
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