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D.15.8.23 grconcat
Procedure from library gradedModules.lib (see gradedModules_lib).
- Usage:
- grconcat(A, B), graded objects A and B, dst(A) == dst(B) =: dst
- Return:
- graded object
- Purpose:
- construct src(A) + src(B) -----> dst given by (A|B)
Example:
| | LIB "gradedModules.lib";
ring r;
module R=grobj(module([x,y,z]),intvec(0:3));
grview(R);
==> Graded homomorphism: r^3 <- r(-1), given by a matrix, with degrees:
==> .1 ...
==> -- +..
==> 0 : 1 |.1
==> 0 : 1 |.2
==> 0 : 1 |.3
==> ==
==> 1
module S=grobj(module([x,0,y],[xy,zy+x2,0]),intvec(0:3));
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 Q=grconcat(R,S);
grview(Q);
==> Graded homomorphism: r^3 <- r(-1)^2 + r(-2), given by a square matrix, wi\
th degrees:
==> ..1 ..2 ..3 ....
==> --- --- --- +...
==> 0 : 1 1 2 |..1
==> 0 : 1 - 2 |..2
==> 0 : 1 1 - |..3
==> === === ===
==> 1 1 2
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