Schreier split epimorphisms between monoids.

DOI10.1007/s00233-014-9571-6zbMath1306.20067OpenAlexW1966924673MaRDI QIDQ741662

Nelson Martins-Ferreira, Dominique Bourn, Andrea Montoli, Manuela Sobral

Publication date: 12 September 2014

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10316/44056

zbMATH Keywords

monoidsMal'tsev conditionsSchreier split epimorphismssplit short five lemma, internal relations

Mathematics Subject Classification ID

Nonabelian homological algebra (category-theoretic aspects) (18G50) Equational logic, Mal'tsev conditions (08B05) Connections of semigroups with homological algebra and category theory (20M50) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

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Cites Work

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• Diagram chasing in Mal'cev categories
• Cohomologie non abelienne de structures algébriques
• Semidirect products and crossed modules in monoids with operations

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