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Let $R$ be a commutative ring with 1. Under what conditions are $R$-mod (the category of $R$-modules) and $R$-mod-$R$ (the category of $R$-$R$ bimodules) equivalent as categories?

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    By $R$-mod-$R$ you mean $R$-$R$-bimodules?2012-03-27
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    Yes, I mean $R$-$R$ bimodules. I'll edit the question to be more clear.2012-03-27

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