2 papers
math.CT2024
Kleisli categories, T-categories and internal categories
Dominique Bourn
We investigate the properties of the Kleisli category KlT of a monad (T,λ,μ) on a category E and in particular the existence of (some kind of) pullbacks. This culminates when the m…
math.CT2023
Split epimorphims and Baer sums of left skew braces
Dominique Bourn
We investigate the split epimorphisms in the categories of digroups and left skew braces. We show that, unlike the category DiGp of digroups, the category SkB of left skew braces i…