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?
When are $R$-mod and $R$-mod-$R$ equivalent?
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abstract-algebra
category-theory
modules
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0By $R$-mod-$R$ you mean $R$-$R$-bimodules? – 2012-03-27
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0Yes, I mean $R$-$R$ bimodules. I'll edit the question to be more clear. – 2012-03-27