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Jul 16, 2010 at 20:04 comment added Sasha The answer depends on whether you are interested in the derived category of all $R$-modules, or only of finitely generated $R$-modules (if $R$ is noetherian). In the second case the answer should be much more complicated. Although, in the case when $R$ has homological dimension 1 (e.g. for $R = C[x]$), it should be easier.
Jul 15, 2010 at 23:56 vote accept Shizhuo Zhang
Jul 15, 2010 at 21:02 answer added Greg Stevenson timeline score: 5
Jul 15, 2010 at 15:48 history asked Shizhuo Zhang CC BY-SA 2.5