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Dec 11, 2014 at 16:03 comment added Sean Tilson Have you seen Mike Mandell's paper on this? He looks at what an $E_1$ through $E_4$ structure on $A$ buy you in terms of the structures on the derived category of $A$-modules.
Sep 11, 2014 at 20:05 vote accept Jonathan Beardsley
Sep 11, 2014 at 18:15 answer added Geoffroy Horel timeline score: 10
Sep 11, 2014 at 12:12 comment added Fernando Muro Modules over an algebra over an operad have a model structure. You can then try to put a tensor product compatible with the model structure on $A$-modules. It seems sensible, but I don't know of any reference.
Sep 11, 2014 at 11:57 history asked Jonathan Beardsley CC BY-SA 3.0