Top
Back: gradeNumber
Forward: allExtOfLeft
FastBack:
FastForward:
Up: purityfiltration_lib
Top: Singular Manual
Contents: Table of Contents
Index: Index
About: About this document
7.5.23.0. showgrades
Procedure from library purityfiltration.lib (see purityfiltration_lib).

Usage:
showgrades(T), T list, which includes representation matrices of modules

Return:
list, gradenumbers of the entries in T

Purpose:
computes a list L with L[i]=gradenumber(M), M=D^p/D^qT[i]

Example:
 
LIB "purityfiltration.lib";
ring D = 0,(x,y,z),dp;
matrix R[6][4]=
0,-2*x,z-2*y-x,-1,
0,z-2*x,2*y-3*x,1,
z,-6*x,-2*y-5*x,-1,
0,y-x,y-x,0,
y,-x,-y-x,0,
x,-x,-2*x,0;
list T=purityFiltration(transpose(R))[2];
showgrades(T);
==> [1]:
==>    0
==> [2]:
==>    -1
==> [3]:
==>    2
==> [4]:
==>    3
// T[i] are i-1 pure (i=1,3,4) or zero (i=2)


Top Back: gradeNumber Forward: allExtOfLeft FastBack: FastForward: Up: purityfiltration_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.