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math.RA2024
Hopf braces and semi-abelian categories
Marino Gran, Andrea Sciandra
Hopf braces have been introduced as a Hopf-theoretic generalization of skew braces. Under the assumption of cocommutativity, these algebraic structures are equivalent to matched pa…
math.CT2024
Double groupoids and -groupoids in regular Mal'tsev categories
Nadja Egner, Marino Gran
We prove that the category 2- of internal -groupoids is a Birkhoff subcategory of the category of double groupoids…
math.QA2024★ 2 cited
Hopf formulae for homology of skew braces
M. Gran, T. Letourmy, L. Vendramin
The variety of skew braces contains several interesting subcategories as subvarieties, as for instance the varieties of radical rings, of groups and of abelian groups. In this arti…