On biadjoint triangles (Q2808145)

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scientific article; zbMATH DE number 6585659
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On biadjoint triangles
scientific article; zbMATH DE number 6585659

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    26 May 2016
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    adjoint triangles
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    descent objects
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    pseudomonads
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    biadjunctions
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    math.CT
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    On biadjoint triangles (English)
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    There is proved the 2-dimensional analogue of the adjoint triangle theorem of \textit{E. Dubuc} [Lect. Notes Math. 61, 69--91 (1968; Zbl 0172.02103)]. Like in the 1-dimensional case, the result is used to get the pseudomonadicity theorem of Le Creurer, Marmolejo and Vitale [\textit{I. J. Le Creurer} et al., J. Pure Appl. Algebra 173, No. 3, 293--313 (2002; Zbl 1003.18007)]. More applications are given.
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