Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2012 5 (3)
- Authors
- Kopylov, Yaroslav A.
- Contact information
- Kopylov, Yaroslav A. : Sobolev Institute of Mathematics Novosibirsk State University , pr. Akad. Koptyuga, 4, Novosibirsk, 630090 Russia Pirogova, 2, Novosibirsk, 630090 Russia , e-mail:
- Keywords
- strict morphism; preabelian category; pullback; pushout; semi-stable (co)kernel; Snake Lemma; connecting morphism
- Abstract
We obtain a generalization of the Two-Square Lemma proved for abelian categories by Fay, Hardie, and Hilton in 1989 and (in a special case) for preabelian categories by Generalov in 1994. We also prove the equivalence up to sign of two definitions of a connecting morphism of the Snake Lemma.
- Pages
- 316-325
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/2923
Journal of Siberian Federal University. Mathematics & Physics / The Two-Square Lemma and the Connecting Morphism in a Preabelian Category
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