The Eilenberg-Moore Category and a Beck-type Theorem for a Morita Context

@article{Brzezinski2011TheEC,
  title={The Eilenberg-Moore Category and a Beck-type Theorem for a Morita Context},
  author={Tomasz Brzezinski and Adrian Vazquez Marquez and Joost Vercruysse},
  journal={Applied Categorical Structures},
  year={2011},
  volume={19},
  pages={821-858}
}
The Eilenberg-Moore constructions and a Beck-type theorem for pairs of monads are described. More specifically, a notion of a Morita context comprising of two monads, two bialgebra functors and two connecting maps is introduced. It is shown that in many cases equivalences between categories of algebras are induced by such Morita contexts. The Eilenberg-Moore category of representations of a Morita context is constructed. This construction allows one to associate two pairs of adjoint functors… CONTINUE READING

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