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D.15.10.25 grrndmap
Procedure from library gradedModules.lib (see gradedModules_lib).
- Usage:
- grrndmap(S,D), graded objects S and D
- Return:
- graded object
- Purpose:
- construct a random 0-deg graded homomorphism src(S) -> src(D)
Example:
| | LIB "gradedModules.lib";
ring r=32003,(x,y,z),dp;
module D=grobj(module([y,0,z],[x2+y2,z,0]),intvec(0,1,0));
grview(D);
==> Graded homomorphism: r + r(-1) + r <- r(-1) + r(-2), given by a matrix, w\
ith degrees:
==> ..1 ..2 ....
==> --- --- +...
==> 0 : 1 2 |..1
==> 1 : - 1 |..2
==> 0 : 1 - |..3
==> === ===
==> 1 2
module S=grobj(module([x,0,y],[xy,zy+x2,0]),intvec(0,0,0));
grview(S);
==> Graded homomorphism: r^3 <- r(-1) + r(-2), given by a matrix, with degree\
s:
==> ..1 ..2 ....
==> --- --- +...
==> 0 : 1 2 |..1
==> 0 : - 2 |..2
==> 0 : 1 - |..3
==> === ===
==> 1 2
def H=grrndmap(D,S);
grview(H);
==> Graded homomorphism: r(-1) + r(-2) <- r(-1) + r(-2), given by a square ma\
trix, with degrees:
==> ..1 ..2 ....
==> --- --- +...
==> 1 : 0 1 |..1
==> 2 : - 0 |..2
==> === ===
==> 1 2
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