Mal’tsev and Lawvere functors

DOI10.2989/16073606.2020.1758823zbMath1482.18002OpenAlexW3022905990MaRDI QIDQ5163026

Dominique Bourn

Publication date: 8 November 2021

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2020.1758823

zbMATH Keywords

internal groupoidsMal'tsev\(\Sigma\)-Mal'tsev categoriescentralization of equivalence relationsnaturally Mal'tsev and protomodular categoriesSmith=Huq condition

Mathematics Subject Classification ID

Congruence modularity, congruence distributivity (08B10) Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20) Categories of algebras (08C05) Factorization systems, substructures, quotient structures, congruences, amalgams (18A32) Protomodular categories, semi-abelian categories, Mal'tsev categories (18E13)

Cites Work

• A note on the ``Smith is Huq condition
• Schreier split epimorphisms between monoids.
• Diagram chasing in Mal'cev categories
• Mal'cev varieties
• \(n\)-groupoids from \(n\)-truncated simplicial objects as a solution to a universal problem
• Affine categories and naturally Mal'cev categories
• Mal'cev categories and fibration of pointed objects
• The ternary commutator obstruction for internal crossed modules
• Further remarks on the ``Smith is Huq condition
• From Groups to Categorial Algebra
• A structural aspect of the category of quandles
• COMMUTATOR, NILPOTENCY, AND SOLVABILITY IN CATEGORIES
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