par Grosskopf, Paul 
;Vercruysse, Joost
Référence Journal of pure and applied algebra, 228, 10, page (107704)
Publication Publié, 2024-07-01
;Vercruysse, Joost Référence Journal of pure and applied algebra, 228, 10, page (107704)
Publication Publié, 2024-07-01
Article révisé par les pairs
| Résumé : | We show that under mild conditions on the monoidal base category V, the category V-Hopf of Hopf V-categories is locally presentable and deduce the existence of free and cofree Hopf categories. We also provide an explicit description of the free and cofree Hopf categories over a semi-Hopf category. One of the conditions on the base category V, states that endofunctors obtained by tensoring with a fixed object preserve jointly monic families, which leads us to the notion of “very flat monoidal product”, which we investigate in particular for module categories. |
