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Anyone can give me a hint please?

"Show $\mathbb{Z}^{\mathbb{N}}$ is not a free-abelian group"

Davis M
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    This is quite challenging to prove from scratch. Do you have some tools you've learned that you might use? – Eric Wofsey Nov 28 '18 at 21:42
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    You can find a full proof (not just a hint) at https://math.stackexchange.com/questions/320444/why-isnt-an-infinite-direct-product-of-copies-of-bbb-z-a-free-module. – Eric Wofsey Nov 28 '18 at 21:45
  • You don't give enough information to give you a hint –  Nov 28 '18 at 23:08

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