on chain complexes/model structure on cosimplicial abelian groups
related by the Dold-Kan correspondence
symmetric monoidal (∞,1)-category of spectra
For a cofibrantly generated model category and a monad on , there is under mild conditions a natural model category structure on the category of algebras over a monad over .
Let be a cofibrantly generated model category and a monad on .
Then under mild conditions there exists the transferred model structure on the category of algebras over a monad, transferred along the free functor/forgetful functor adjunction
See (Schwede-Shipley 00, lemma 2.3).
model structure on algebras over a monad
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