A note on actions of a monoidal category (Q2762218)

An action of a monoidal category \({\mathcal V}\) on a category \({\mathcal A}\) can be viewed as a strong monoidal functor \(F\) from \({\mathcal V}\) to the endofunctor category of \({\mathcal A}\). The paper deals with the question of a right adjoint \(G\) for \(F\) and the induced adjunction between monoids in \({\mathcal V}\) and monoids on \({\mathcal A}\). There is a new representation of any monad as a large limit of endomorphism-like monads.