From the 3 of 6 linked papers with an AI index.
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is not algebraically coherent
Andrea Sciandra, Vito Volpe
The authors prove that the category SKB is not algebraically coherent, which consequently means it is not locally algebraically cartesian closed, and they extend this result to coc…
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…
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…
Hopf formulae for cocommutative Hopf algebras
Marino Gran, Andrea Sciandra
The adjunction between coalgebras and Hopf algebras, first described by Takeuchi, allows one to prove that the semi-abelian category of cocommutative Hopf algebras has enough $\mat…