Thesis (MSc)--Stellenbosch University, 2011. / ENGLISH 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. / AFRIKAANSE 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.
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:sun/oai:scholar.sun.ac.za:10019.1/18085 |
| Date | 12 1900 |
| Creators | Michael Ifeanyi, Friday |
| Contributors | Janelidze, Zurab, Stellenbosch University. Faculty of Science. Dept. of Mathematical Sciences. Division of Mathematics. |
| Publisher | Stellenbosch : Stellenbosch University |
| Source Sets | South African National ETD Portal |
| Language | en_ZA |
| Detected Language | Unknown |
| Type | Thesis |
| Format | 35 p. : ill. |
| Rights | Stellenbosch University. |
Page generated in 0.0019 seconds