Geodesic
The Two-Square Lemma and the connecting morphism in a~preabelian category
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 5 (2012) no. 3, pp. 316-325

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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, Snake Lemma, connecting morphism.
Mots-clés : semi-stable (co)kernel 
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Yaroslav A. Kopylov. The Two-Square Lemma and the connecting morphism in a~preabelian category. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 5 (2012) no. 3, pp. 316-325. http://geodesic.mathdoc.fr/item/JSFU_2012_5_3_a2/