Subtractive categories and extended subtractions

DOI10.1007/s10485-008-9182-zzbMath1176.18005OpenAlexW2094562030MaRDI QIDQ835752

Zurab Janelidze, Dominique Bourn

Publication date: 31 August 2009

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

Full work available at URL: https://doi.org/10.1007/s10485-008-9182-z

zbMATH Keywords

subtractive categorysubtractionMalt'sev categorystrongly unital category

Mathematics Subject Classification ID

Related Items (14)

On exponentiable morphisms in classical algebra ⋮ On congruence modular varieties and Gumm categories ⋮ Two characterisations of groups amongst monoids ⋮ Intrinsic Schreier split extensions ⋮ Unnamed Item ⋮ Intrinsic Schreier special objects ⋮ Commutative objects, central morphisms and subtractors in subtractive categories ⋮ Unnamed Item ⋮ Split short five lemma for clots and subtractive categories ⋮ An axiomatic survey of diagram lemmas for non-abelian group-like structures ⋮ Categorical (binary) difference terms and protomodularity ⋮ Approximate Hagemann-Mitschke co-operations ⋮ A Note on the Abelianization Functor ⋮ Pointed protomodularity via natural imaginary subtractions

Cites Work

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• Diagram chasing in Mal'cev categories
• Subtractive categories
• On subtractive varieties. I
• Intrinsic centrality and associated classifying properties
• Mal'cev categories and fibration of pointed objects
• Closedness properties of internal relations. IV: Expressing additivity of a category via subtractivity
• On the determining of the form of congruences in abstract algebras with equationally definable constant elements

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