Home Online Manual
Top
Back: grprod
Forward: grconcat
FastBack:
FastForward:
Up: gradedModules_lib
Top: Singular Manual
Contents: Table of Contents
Index: Index
About: About this document

D.15.14.22 grgroebner

Procedure from library gradedModules.lib (see gradedModules_lib).

Usage:
grgroebner(M), graded object M

Return:
graded object

Purpose:
compute graded groebner basis of M

Example:
 
LIB "gradedModules.lib";
ring r=32003,(x,y,z),dp;
module A = grobj( module([x+y, x, 0, 0], [0, x+y, y, 0]), intvec(0,0,0,1) );
grview(A);
==> Graded homomorphism: r^3 + r(-1) <- r(-1)^2, given by a matrix, with degr\
   ees: 
==>      ..1 ..2 ....
==>      --- --- +...
==>   0 :  1   - |..1
==>   0 :  1   1 |..2
==>   0 :  -   1 |..3
==>   1 :  -   - |..4
==>      === ===     
==>        1   1     
module B = grgroebner(A);
grview(B);
==> Graded homomorphism: r^3 + r(-1) <- r(-1)^2, given by a matrix, with degr\
   ees: 
==>      ..1 ..2 ....
==>      --- --- +...
==>   0 :  1   - |..1
==>   0 :  1   1 |..2
==>   0 :  1   1 |..3
==>   1 :  -   - |..4
==>      === ===     
==>        1   1