On a unified categorical setting for homological diagram lemmas

[摘要] ENGLISH ABSTRACT: Some of the diagram lemmas of Homological Algebra, classically known forabelian categories, are not characteristic of the abelian context; this naturallyleads to investigations of those non-abelian categories in which these diagramlemmas may hold. In this Thesis we attempt to bring together two differentdirections of such investigations; in particular, we unify the five lemma fromthe context of homological categories due to F. Borceux and D. Bourn, andthe five lemma from the context of modular semi-exact categories in the senseof M. Grandis.

[发布机构] Stellenbosch University