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7.5.11.0. CentralSaturation
Procedure from library ncdecomp.lib (see ncdecomp_lib).

Usage:
CentralSaturation(M, T), for a module M and an ideal T

Assume:
T is an ideal in the center of the base ring

Return:
module

Purpose:
compute the central saturation of M by T, that is M:T^{\infty}, by repititive application of CentralQuot

Note:
the output module is not necessarily a Groebner basis

Example:
 
LIB "ncdecomp.lib";
option(returnSB);
def a = makeUsl2();
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
See also: CenCharDec; CentralQuot.


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