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Mar 6, 2014 at 0:07 comment added Zhen Lin $F U$ is a comonad, not a monad. Monads yield cosimplicial resolutions.
Mar 5, 2014 at 21:51 history edited Mariano Suárez-Álvarez CC BY-SA 3.0
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Mar 5, 2014 at 21:47 comment added Mariano Suárez-Álvarez This was (in his context) observed first, I guess, by Hochschild. One of his first two or three papers on his cohomology theory proves, among other things, that Hochschild cohomology can be obtained by derivating the $\operatorname{Der}$ functor, up to a shift and a twist, just as above.
Mar 5, 2014 at 21:46 history answered Mariano Suárez-Álvarez CC BY-SA 3.0