On split extensions of preordered groups

DOI10.4171/pm/2101arXiv2212.07064OpenAlexW4376866812MaRDI QIDQ6062711

Maria Manuel Clementino, Carla Ruivo

Publication date: 6 November 2023

Published in: Portugaliae Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.07064

zbMATH Keywords

positive conesplit extensionpreordered group\(S\)-protomodular category

Mathematics Subject Classification ID

Ordered groups (06F15) Categories of algebras (08C05) Protomodular categories, semi-abelian categories, Mal'tsev categories (18E13)

Cites Work

• Monoids and pointed \(S\)-protomodular categories
• Two characterisations of groups amongst monoids
• On the categorical behaviour of preordered groups
• Topological groups have representable actions
• On lax protomodularity for \(\mathsf{Ord}\)-enriched categories
• An Invitation to Topological Semi-abelian Algebras
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