Top
Back: CentralQuot
Forward: CenCharDec
FastBack:
FastForward:
Up: ncdecomp_lib
Top: Singular Manual
Contents: Table of Contents
Index: Index
About: About this document
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.


Top Back: CentralQuot Forward: CenCharDec FastBack: FastForward: Up: ncdecomp_lib Top: Singular Manual Contents: Table of Contents Index: Index About: About this document
            User manual for Singular version 4.3.2, 2023, generated by texi2html.