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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…