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\(3 \times 3\) lemma for star-exact sequences

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Publication:1758722
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DOI10.4310/HHA.2012.V14.N2.A1zbMath1258.18011WikidataQ124971212 ScholiaQ124971212MaRDI QIDQ1758722

Zurab Janelidze, Marino Gran, Diana Rodelo

Publication date: 16 November 2012

Published in: Homology, Homotopy and Applications (Search for Journal in Brave)


zbMATH Keywords

star-regular categoryGoursat categoryhomological categorysubtractive categorynonabelian homological algebraquasi-pointed category3 \(\times 3\) lemmaideal of null morphismssequentiable category


Mathematics Subject Classification ID

Nonabelian homological algebra (category-theoretic aspects) (18G50) Abelian categories, Grothendieck categories (18E10) Varieties (08B99) Categories and theories (18C99)


Related Items (8)

The Zassenhaus lemma in star-regular categories ⋮ On the structure of zero morphisms in a quasi-pointed category ⋮ Pretorsion theories in general categories ⋮ An axiomatic survey of diagram lemmas for non-abelian group-like structures ⋮ Star-regularity and regular completions ⋮ The cuboid lemma and Mal'tsev categories ⋮ An Introduction to Regular Categories ⋮ On 2-star-permutability in regular multi-pointed categories







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