T-catégories représentables

Jacques Penon

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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