Hopf monoids in varieties
Although the natural frame for defining generalizations of Hopf algebras is that of monoidal categories, one has to add extra assumptions if one wants to obtain non-trivial results, generalizing the classical theorem on Hopf algebras over a commutative field. In this paper, the frame of commutative categories is studied. Hopf bimonoids in such a category are defined, and conditions for the existence of groups of group-like elements and of a functorial finite dual are given. This paper ends with a bunch of open questions on the monoidal structure of commutative varieties, related to the notion requested before.
scientific article; zbMATH DE number 6904403
scientific article