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Title: Intrinsic Schreier Split Extensions
Authors: Montoli, Andrea 
Rodelo, Diana 
Van der Linden, Tim
Keywords: Fibration of points; Jointly extremal-epimorphic pair; Regular category; Unital category; Protomodular category; Monoid; Jónsson–Tarski variety
Issue Date: 2020
Publisher: Springer Verlag
Project: CMUC-UID/MAT/00324/2019 
Serial title, monograph or event: Applied Categorical Structures
Volume: 28
Abstract: 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.
DOI: 10.1007/s10485-019-09588-4
Rights: embargoedAccess
Appears in Collections:I&D CMUC - Artigos em Revistas Internacionais

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