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Consider an integer polynomial ring, $A = \mathbb{Z}[t]$, and a ring of fractions, $B = \mathbb{Z}[t, t^{-1}]$; obviously, $A$ is a subring of $B$. Now we consider two modules over $A$ and $B$, $M$ and $N$. We want to construct a map from $M$ N$ to $N$. M$. But the question is that the two modules are not over the same polynomial ring. So how can we make it? Great thanks! |
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Post Closed as "not a real question" by Felipe Voloch, J.C. Ottem, Kevin Walker, quid, Andreas Blass
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Consider an integer polynomial ring, A=ZZ[t], $A = \mathbb{Z}[t]$, and a quotient ring , B=ZZ[t, t^(-1)]of fractions, $B = \mathbb{Z}[t, t^{-1}]$; obviously, A $A$ is a subring of B.$B$. Now we consider two modules over A $A$ and B, A^1和B^1. $B$, $M$ and $N$. We want to construct a map from A^1 $M$ to B^1. $N$. But the question is that the two modules are not over the same polynomial ring. So how can we make it? Great thanks!
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