3 papers
math.CT2026
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…
math.CT2026
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…
math.CT2026
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…