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math.CT2025
Itegories
Robin Cockett, Jean-Simon Pacaud Lemay
An itegory is a restriction category with a Kleene wand. Cockett, D{\'ı}az-Bo{\"ı}ls, Gallagher, and Hrube{š} briefly introduced Kleene wands to capture iteration in restriction ca…
math.CT2025
Dagger-Drazin Inverses
Robin Cockett, Jean-Simon Pacaud Lemay, Priyaa Varshinee Srinivasan
Drazin inverses are a special kind of generalized inverses that can be defined for endomorphisms in any category. A natural question to ask is whether one can somehow extend the no…