With the representable T-categories, we form a connection between two concepts, both owed to A. Burroni : on the one hand, the one of T-category, and, on the other hand, the one of T-lax algebra. Both of them generalise the concept of algebra on a monad T.
Keywords: category, internal category, monad, lax algebra, T-category
2000 MSC: 18C15, 18C20, 18D05, 18D35
Theory and Applications of Categories,
Vol. 22, 2009,
No. 15, pp 376-387.
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