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Ring king
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Abelian group of finite rank
I used that $A\otimes\mathbf{Z}_p\cong\varprojlim_i p^iA = e_1\otimes\mathbf{Z}_p+...+e_n\otimes\mathbf{Z}_p$
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Abelian group of finite rank
But $A\otimes\mathbf{Z}_p = e_1\otimes\mathbf{Z}_p+...+e_n\otimes\mathbf{Z}_p$ can't be isomorfic to $\mathbf{Q}_p^2$?
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Abelian group of finite rank
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