4 papers
On the semi-abelianness of cocommutative Hopf monoids
Andrea Sciandra, Zhenbang Zuo
By providing a suitable generalization of Newman's bijective correspondence known for cocommutative Hopf algebras, we prove that the category of cocommutative Hopf monoids in any a…
Equivalent definitions of fusion category arising from separability
Zhenbang Zuo
For a semisimple multiring category with left duals, we prove that the unit object is simple if and only if the tensor functors by any non-zero algebra are separable (resp. faithfu…
Semiseparability of induction functors in a monoidal category
Lucrezia Bottegoni, Zhenbang Zuo
For any algebra morphism in a monoidal category, we provide sufficient conditions (which are also necessary if the unit is a left tensor generator) for the attached induction funct…
Quotient Category of a Multiring Category
Zhenbang Zuo, Gongxiang Liu
The aim of this paper is to introduce a tensor structure for the Serre quotient category of an abelian monoidal category with biexact tensor product to make the canonical functor a…