Intrinsic Schreier split extensions
Category Theory
2020-04-23 v1
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.
Cite
@article{arxiv.1911.08770,
title = {Intrinsic Schreier split extensions},
author = {Andrea Montoli and Diana Rodelo and Tim Van der Linden},
journal= {arXiv preprint arXiv:1911.08770},
year = {2020}
}
Comments
20 pages