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Monads for which structures are adjoint to units

Journal of Pure and Applied Algebra (1995) 104(1) 41-59
DOI: 10.1016/0022-4049(94)00111-U
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Abstract

We analyse the 2-dimensional categorical algebra underlying the process of completing categories, or posets. The algebra explains why and how completeness of a category is describable in monad theoretic terms, and why the limit formation for freely completed categories admits a further adjoint. © 1995.

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Kock, A. (1995). Monads for which structures are adjoint to units. Journal of Pure and Applied Algebra, 104(1), 41–59. https://doi.org/10.1016/0022-4049(94)00111-U

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