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B.6.0.2 CentralSaturation
Procedure from library ncdecomp.lib (see ncdecomp_lib).
- Usage:
- CentralSaturation(M, T), for a module M and an ideal T,
- Return:
- module of the central saturation of M by T (also denoted by M:T^{\infty}),
- Note:
- the output module is not necessarily a Groebner basis,
Example:
| LIB "ncdecomp.lib";
option(returnSB);
def a = sl2();
setring a;
ideal I = e3,f3,h3-4*h;
I = std(I);
poly C=4*e*f+h^2-2*h;
ideal G = C*(C-8);
ideal R = CentralSaturation(I,G);
R=std(R);
vdim(R);
==> 5
R;
==> R[1]=h
==> R[2]=ef-6
==> R[3]=f3
==> R[4]=e3
| CentralQuot, CenCharDec
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