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D.15.6.22 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
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