Re: [math-fun] Abelian group puzzle

--- dasimov@earthlink.net wrote:

Let P denote the direct product of countably many copies of the integers Z.

E.g., the set {f: Z+ --> Z | f is a function} under addition of functions.

Puzzle: Is P a free abelian group? Prove your answer.

--Dan

Dan, This does not appear to be a popular topic. But I think it's interesting, and I'd like to see the proof. Gene __________________________________________________ Do You Yahoo!? Tired of spam? Yahoo! Mail has the best spam protection around http://mail.yahoo.com