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Journal of Siberian Federal University. Mathematics & Physics, 2012, Volume 5, Issue 3, Pages 316–325 (Mi jsfu255)  
The Two-Square Lemma and the connecting morphism in a preabelian category

Yaroslav A. Kopylovab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
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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.
Keywords: strict morphism, preabelian category, pullback, pushout, semi-stable (co)kernel, Snake Lemma, connecting morphism.
Received: 23.02.2012
Received in revised form: 16.03.2012
Accepted: 16.04.2012
Document Type: Article
UDC: 512.66
Language: English
Citation: Yaroslav A. Kopylov, “The Two-Square Lemma and the connecting morphism in a preabelian category”, J. Sib. Fed. Univ. Math. Phys., 5:3 (2012), 316–325
Citation in format AMSBIB
\Bibitem{Kop12}
\by Yaroslav~A.~Kopylov
\paper The Two-Square Lemma and the connecting morphism in a~preabelian category
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2012
\vol 5
\issue 3
\pages 316--325
\mathnet{http://mi.mathnet.ru/jsfu255}
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