Note. In the construction of the injective Resolution of the term A where
0---> B----> A----> C---->0
is an exact sequence in the category and in which
B-->I* is an injective resolution of B
and
C---> J* is an injective resolution of C
Then we constructo an injective resolution
A---> I* (+) J*.
note that the injection map A --> I^0 (+) J^0 is the one given by the two morphisms: A---> I^0 resulting from the lifing of B---> I^0 (remember I^0 is injective) and the morphism A---> C---> J^0.
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Note. In the construction of the injective Resolution of the term A where
ResponderEliminar0---> B----> A----> C---->0
is an exact sequence in the category and in which
B-->I* is an injective resolution of B
and
C---> J* is an injective resolution of C
Then we constructo an injective resolution
A---> I* (+) J*.
note that the injection map A --> I^0 (+) J^0
is the one given by the two morphisms:
A---> I^0 resulting from the lifing of
B---> I^0 (remember I^0 is injective) and the morphism
A---> C---> J^0.