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https://hdl.handle.net/10316/89455
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 | metadata.degois.publication.title: | Applied Categorical Structures | metadata.degois.publication.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. | URI: | https://hdl.handle.net/10316/89455 | DOI: | 10.1007/s10485-019-09588-4 | Rights: | embargoedAccess |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
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arXiv version1.pdf | 302.08 kB | Adobe PDF | View/Open |
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