Showing 2026Show all
2 papers · 1 filter
math.CT2026
A Syntactic Approach to Ulmer's Bialgebras
David Forsman
Ulmer introduced a semantic notion of bialgebras that unifies a broad class of algebraic and coalgebraic structures. We develop a syntactic counterpart by introducing signature pai…
math.CT2026
On the Semi-Abelianness of Affine Group Schemes
David Forsman
We prove that the category of commutative Hopf algebras over a field is co-semi-abelian. Consequently, the category of affine group -schemes is semi-abelian. We establish co…