Intrinsic Schreier split extensions

DOI10.1007/s10485-019-09588-4zbMath1485.18011arXiv1911.08770OpenAlexW3100070606WikidataQ126671254 ScholiaQ126671254MaRDI QIDQ2182788

Diana Rodelo, Andrea Montoli, Tim Van der Linden

Publication date: 26 May 2020

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.08770

zbMATH Keywords

protomodular categoryregular categorymonoidfibration of pointsunital categoryjointly extremal-epimorphic pairJónsson-Tarski variety

Mathematics Subject Classification ID

Categories of algebras (08C05) Category of groups (20J15) Algebraic monoids (20M32) Structured objects in a category (group objects, etc.) (18C40) Protomodular categories, semi-abelian categories, Mal'tsev categories (18E13)

Related Items

Intrinsic Schreier special objects ⋮ Unnamed Item

Cites Work

• Monoids and pointed \(S\)-protomodular categories
• On the ``Smith is Huq condition in \(S\)-protomodular categories
• Schreier split epimorphisms between monoids.
• Subtractive categories and extended subtractions
• Pointed protomodularity via natural imaginary subtractions
• Two characterisations of groups amongst monoids
• Mal'cev categories and fibration of pointed objects
• Semidirect products and crossed modules in monoids with operations
• Semidirect products and split short five lemma in normal categories
• Approximate Hagemann-Mitschke co-operations
• The \(3 \times 3\) lemma in the \(\Sigma\)-Mal'tsev and \(\Sigma\)-protomodular settings: applications to monoids and quandles
• Intrinsic Schreier special objects
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item