How can I see that the functor
from the category of abelian groups to itself is not additive.
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How can I see that the functor
from the category of abelian groups to itself is not additive.
if it was additive, then we'd have:Quote:
Originally Posted by peteryellow
How can I see that the functor
from the category of abelian groups to itself is not additive.
for all
all abelian groups
and all
but this is nonsense! (consider trivial examples!)