On a unified categorical setting for homological diagram lemmas

dc.contributor.advisorJanelidze, Zuraben_ZA
dc.contributor.authorMichael Ifeanyi, Fridayen_ZA
dc.contributor.otherStellenbosch University. Faculty of Science. Dept. of Mathematical Sciences. Division of Mathematics.en_ZA
dc.descriptionThesis (MSc)--Stellenbosch University, 2011.en_ZA
dc.description.abstractENGLISH ABSTRACT: Some of the diagram lemmas of Homological Algebra, classically known for abelian categories, are not characteristic of the abelian context; this naturally leads to investigations of those non-abelian categories in which these diagram lemmas may hold. In this Thesis we attempt to bring together two different directions of such investigations; in particular, we unify the five lemma from the context of homological categories due to F. Borceux and D. Bourn, and the five lemma from the context of modular semi-exact categories in the sense of M. Grandis.en_ZA
dc.description.abstractAFRIKAANSE OPSOMMING: Verskeie diagram lemmata van Homologiese Algebra is aanvanklik ontwikkel in die konteks van abelse kategorieë, maar geld meer algemeen as dit behoorlik geformuleer word. Dit lei op ’n natuurlike wyse na ’n ondersoek van ander kategorieë waar hierdie lemmas ook geld. In hierdie tesis bring ons twee moontlike rigtings van ondersoek saam. Dit maak dit vir ons moontlik om die vyf-lemma in die konteks van homologiese kategoieë, deur F. Borceux en D. Bourn, en vyflemma in die konteks van semi-eksakte kategorieë, in die sin van M. Grandis, te verenig.af_ZA
dc.format.extent35 p. : ill.
dc.publisherStellenbosch : Stellenbosch Universityen_ZA
dc.subjectNon-abelian homological algebraen_ZA
dc.subjectDissertations -- Mathematicsen_ZA
dc.subjectTheses -- Mathematicsen_ZA
dc.subjectAbelian categoriesen_ZA
dc.titleOn a unified categorical setting for homological diagram lemmasen_ZA
dc.rights.holderStellenbosch University.

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