Beck's theorem for pseudo-monads

Le Creurer, I. J.;Marmolejo, F;Vitale, Enrico
(2002) Journal of Pure and Applied Algebra — Vol. 173, n° 3, p. 293-313 (2002)

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  • Le Creurer, I. J.UCLouvain
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  • Marmolejo, F
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  • Vitale, Enricoorcid-logoUCLouvain
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Abstract
In this work we establish a 2-categorical analogue of Beck's theorem characterizing monadic functors. We show that a 2-functor (a pseudo-functor) U is monadic iff it is a right pseudo-adjoint, it reflects adjoint equivalences and it creates U-absolute pseudo-coequalizers of codescent objects. (C) 2002 Elsevier Science B.V. All rights reserved.
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Le Creurer, I. J., Marmolejo, F., & Vitale, E. (2002). Beck’s theorem for pseudo-monads. Journal of Pure and Applied Algebra, 173(3), 293-313. https://doi.org/10.1016/S0022-4049(02)00038-5 (Original work published 2002)