Closedness properties of internal relations. IV: Expressing additivity of a category via subtractivity

zbMath1124.18003arXivmath/0610110MaRDI QIDQ2381415

Zurab Janelidze

Publication date: 17 September 2007

Published in: Journal of Homotopy and Related Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610110

zbMATH Keywords

subtraction algebrasubtractive categoryclosedness property

Mathematics Subject Classification ID

Equational logic, Mal'tsev conditions (08B05) Abelian categories, Grothendieck categories (18E10) Categories of algebras (08C05) Preadditive, additive categories (18E05) Categories and theories (18C99)

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Subtractive categories and extended subtractions ⋮ Split short five lemma for clots and subtractive categories ⋮ Categorical (binary) difference terms and protomodularity ⋮ Pointed protomodularity via natural imaginary subtractions ⋮ Majority categories

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