duoidal categories 1hopf algebras 1protomodularity 1quasitriangular structures 1tensor-braided categories 1
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math.CT2026
Protomodularity of cocommutative Hopf monoids in duoidal categories and quasitriangular Hopf algebras
Alessandro Ardizzoni, Lucrezia Bottegoni, Alan Cigoli +1
The paper generalizes the protomodular structure of cocommutative Hopf algebras to quasitriangular Hopf algebras by treating them as cocommutative bimonoids in tensor‑braided duoid…
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…