Monads and bimonads

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Abstract

The notion of a monad (or a triple) on a category goes back to Roger Godement [Go] and was later developed by Samuel Eilenberg, John Moore, Jonathan Beck, and others. Combining the theory of monads with that of monoidal categories, Ieke Moerdijk [Mo] formulated the notion of a bimonad. In this chapter, we outline the basics of the theory of monads and bimonads.

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Turaev, V., & Virelizier, A. (2017). Monads and bimonads. In Progress in Mathematics (Vol. 322, pp. 127–155). Springer Basel. https://doi.org/10.1007/978-3-319-49834-8_7

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