Centre for Mathematics, University of Coimbra

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Type:	Preprint
National /International:	International
Title:	Intrinsic Schreier split extensions
Publication Date:	2019-05-11
Authors:	- Andrea Montoli - Diana Rodelo - Tim Van der Linden
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.
Institution:	DMUC 19-14
Online version:	http://www.mat.uc.pt...prints/eng_2019.html
Download:	Not available