Timeline for Is K(R-Mod) compactly generated when R is an artin algebra?
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| Jul 31, 2010 at 5:26 | answer | added | Greg Stevenson | timeline score: 2 | |
| Apr 6, 2010 at 21:17 | comment | added | Greg Stevenson | I don't believe that the shifts of finitely generated modules could form a generating set in general. The bounded derived category of finitely generated modules generates (up to equivalence) the homotopy category of complexes of injective R-modules, but the inclusion of K(R-Inj) into K(R-Mod) preserves coproducts, so it won't generate K(R-Mod) unless the inclusion is an equivalence. In general I don't believe that this is the case. | |
| Apr 6, 2010 at 18:28 | history | asked | Guest | CC BY-SA 2.5 |