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- Feb 5, 2012

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I find it difficult to get the exact meaning of the following question. What does "in a natural way" means? Is it that we have to show that there exist a isomorphism between \(S\) and a sub-module of \(R\)? Any ideas are greatly appreciated.

**Question:**

Given a ring homomorphism \(f:R\rightarrow S\), show that every \(S\)-module can be considered as an \(R\)-module in a natural way.