Geodesic
Axiomatic Proof of J. Lambek's Homological Theorem
Canadian mathematical bulletin, Tome 7 (1964) no. 4, pp. 609-613

Voir la notice de l'article provenant de la source Cambridge University Press

A category with zero-maps is called "quasi-exact" in the sense of D. Puppe (see [4], page 8, 2. 4), if it satisfies the following axioms: (Q1) Every may f is a product f=με of an epimorphisrn εfollowed by a monomorphism μ (Q2) a) Every epimorphism ε has a kernel k = ker ε b) Every monomorphism μ has a cokernel γ = Coker ε, where Ker and Coker are characterized by the familiar universality properties (see [3], page 252, (1. 10) and (1. 11)). 
Leicht, J. B. Axiomatic Proof of J. Lambek's Homological Theorem. Canadian mathematical bulletin, Tome 7 (1964) no. 4, pp. 609-613. doi: 10.4153/CMB-1964-056-4
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[1] 1. Hilton, P. J., Lederman., W., Homology and Ringoids III, Proceedings of the Cambridge Philosophical Society Vol. 56 (1960), 1–12. Google Scholar | DOI

[2] 2. Leicht, J.B., Űber die elementaren Lemmata der homoiogischen Algebra in quasi-exacten Kategorien, Monatshefte der Mathematik. Forthcoming. Google Scholar

[3] 3. MacLane., S., Homology, Grundlehren der Mathematischen Wissenschaften Bd. 114, Springer-Verlag (1963). Google Scholar

[4] 4. Puppe., D., Korrespondenzen űber abelschen Kategorien, Mathematische Annalen Bd. 148 (1963), Seite 1–30. Google Scholar

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