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math.CT2026
is not algebraically coherent
Andrea Sciandra, Vito Volpe
We prove that the category is not algebraically coherent. As a consequence, it is not locally algebraically cartesian closed. Then the same can be deduced for cocomm…
math.CT2026
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…
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…