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math.CT2025
Abelian objects in categories with normal projections
Michael Hoefnagel, Zurab Janelidze
It is known that in (regular) unital and in subtractive categories, internal abelian groups are simply behaved; e.g., they are the same as internal algebras satisfying $s(x…
math.CT2025
On extensivity of morphisms
Michael Hoefnagel, Emma Theart
Extensivity of a category may be described as a property of coproducts in the category, namely, that they are disjoint and universal. An alternative viewpoint is that it is a prope…