2 citations · 2 across the 7 of their papers we have counts for
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Frobenius functors and one-sided Hopf algebras in braided monoidal categories
Lucrezia Bottegoni, Davide Ferri, Paolo Saracco
Evidence suggests a tight connection between the existence of antipode-like maps on bialgebra-like structures, and the Frobenius property for the associated free Hopf module functo…
Protomodularity of cocommutative Hopf monoids in duoidal categories and quasitriangular Hopf algebras
Alessandro Ardizzoni, Lucrezia Bottegoni, Alan Cigoli +1
In this work, we extend the protomodularity of the category of cocommutative Hopf algebras to the quasitriangular setting. Every quasitriangular Hopf algebra admits a minimal quasi…
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…