Author(s): Montoli, Andrea ; Rodelo, Diana ; Van der Linden, Tim
Date: 2020
Persistent ID: https://hdl.handle.net/10316/89455
Origin: Estudo Geral - Universidade de Coimbra
Subject(s): Fibration of points; Jointly extremal-epimorphic pair; Regular category; Unital category; Protomodular category; Monoid; Jónsson–Tarski variety
In the context of regular unital categories we introduce an intrinsic version of the notion of a Schreier split epimorphism, originally considered for monoids. We show that such split epimorphisms satisfy the same homological properties as Schreier split epimorphisms of monoids do. This gives rise to new examples of S-protomodular categories, and allows us to better understand the homological behaviour of monoids from a categorical perspective.
