Monoidal Model Categories

@inproceedings{Hovey1998MonoidalMC,
  title={Monoidal Model Categories},
  author={Mark Hovey},
  year={1998}
}
A monoidal model category is a model category with a closed monoidal structure which is compatible with the model structure. Given a monoidal model category, we consider the homotopy theory of modules over a given monoid and the homotopy theory of monoids. We make minimal assumptions on our model categories; our results therefore are more general, yet weaker, than the results of [SS97]. In particular, our results apply to the monoidal model category of topological symmetric spectra [HSS98]. 
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