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Results tagged with modules
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user 505910
For questions on modules over rings.
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Tensor product over $\mathbb{Z}$ and p-adic integer ring $\mathbb{Z}_p$
Suppose we have two $\mathbb{Z}_p$-modules $A,B$. Do we always have $A \otimes_{\mathbb{Z}} B \simeq A \otimes_{\mathbb{Z}_p} B$, as abelian groups or $\mathbb{Z}_p$-modules? … For a commutative ring $R$ and two $R$-modules $A$ and $B$, where every $\mathbb{Z}$-linear map between $R$-modules is automatically $R$
-linear, we can have the two tensor isomorphic as abelian groups …
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