If is a projective -module, there exists a free -module such that .

Advertisements

Skip to content
# The Eilenberg swindle

##
2 thoughts on “The Eilenberg swindle”

### Leave a Reply

If is a projective -module, there exists a free -module such that .

Advertisements

%d bloggers like this:

Let and be -modules such that is free. Then is free and .

LikeLiked by 1 person

More generally, if are projective modules, there exists some module such that is free (the original problem is the particular case where ). The proof of the generalization is essentially the same.

LikeLiked by 1 person