The Two-Square Lemma and the connecting morphism

Details The Two-Square Lemma and the connecting morphism The Two-Square Lemma and the connecting morphism

2011-03-27

arxiv.org/abs/1103.5251v1

Mathematics

Category Theory

10 pages

Scientific paper

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.

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