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D.4.15.28 homomorphism
Procedure from library modules.lib (see modules_lib).
- Usage:
- homomorphism(rules,sources,targets); rules a matrix, sources and targets are Modules
Return: Homomorphism
Example:
| | LIB "modules.lib";
ring R=0,(x,y),(lp,c);
Matrix M=id(2);
Module src=image(M);
matrix rules[2][2]=x,y,x2,y2;
Module tar=coker(M);
src;
==> R^2
==>
==>
tar;
==> cokernel | 1 0 |
==> | 0 1 |
==>
==>
rules;
==> rules[1,1]=x
==> rules[1,2]=y
==> rules[2,1]=x2
==> rules[2,2]=y2
homomorphism(rules,src,tar);
==> | x y |
==> | x2 y2 |
==>
==> cokernel | 1 0 | <--- R^2
==> | 0 1 |
==>
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