Marino Gran

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math.CT2025

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…

math.CT2025

Double groupoids and $2$ -groupoids in regular Mal'tsev categories

Nadja Egner, Marino Gran

We prove that the category 2- $Grpd (C)$ of internal $2$ -groupoids is a Birkhoff subcategory of the category $Grpd^{2} (C)$ of double groupoids…

Hopf formulae for cocommutative Hopf algebras

Double groupoids and 2-groupoids in regular Mal'tsev categories

Double groupoids and $2$ -groupoids in regular Mal'tsev categories