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On a unified categorical setting for homological diagram lemmas
Thesis (MSc)--Stellenbosch University, 2011.
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| Format: | Thesis |
| Language: | en_ZA |
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Stellenbosch : Stellenbosch University
2011
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| _version_ | 1867613844909588480 |
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| access_status_str | Open Access |
| author | Michael Ifeanyi, Friday |
| author2 | Janelidze, Zurab |
| author_browse | Janelidze, Zurab Michael Ifeanyi, Friday |
| author_facet | Janelidze, Zurab Michael Ifeanyi, Friday |
| author_sort | Michael Ifeanyi, Friday |
| collection | Thesis |
| dc_rights_str_mv | Stellenbosch University. |
| description | Thesis (MSc)--Stellenbosch University, 2011. |
| format | Thesis |
| id | oai:scholar.sun.ac.za:10019.1/18085 |
| institution | Stellenbosch University (South Africa) |
| language | en_ZA |
| last_indexed | 2026-06-10T12:42:35.472Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository |
| publishDate | 2011 |
| publishDateRange | 2011 |
| publishDateSort | 2011 |
| publisher | Stellenbosch : Stellenbosch University |
| publisherStr | Stellenbosch : Stellenbosch University |
| record_format | dspace |
| source_str | SUNScholar — Stellenbosch University Repository |
| spelling | oai:scholar.sun.ac.za:10019.1/18085 On a unified categorical setting for homological diagram lemmas Michael Ifeanyi, Friday Janelidze, Zurab Stellenbosch University. Faculty of Science. Dept. of Mathematical Sciences. Division of Mathematics. Non-abelian homological algebra Dissertations -- Mathematics Theses -- Mathematics Abelian categories 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. 2011-11-22T12:56:26Z 2011-12-05T13:27:06Z 2011-11-22T12:56:26Z 2011-12-05T13:27:06Z 2011-12 Thesis http://hdl.handle.net/10019.1/18085 en_ZA Stellenbosch University. 35 p. : ill. application/pdf Stellenbosch : Stellenbosch University |
| spellingShingle | Non-abelian homological algebra Dissertations -- Mathematics Theses -- Mathematics Abelian categories Michael Ifeanyi, Friday On a unified categorical setting for homological diagram lemmas |
| title | On a unified categorical setting for homological diagram lemmas |
| title_full | On a unified categorical setting for homological diagram lemmas |
| title_fullStr | On a unified categorical setting for homological diagram lemmas |
| title_full_unstemmed | On a unified categorical setting for homological diagram lemmas |
| title_short | On a unified categorical setting for homological diagram lemmas |
| title_sort | on a unified categorical setting for homological diagram lemmas |
| topic | Non-abelian homological algebra Dissertations -- Mathematics Theses -- Mathematics Abelian categories |
| url | http://hdl.handle.net/10019.1/18085 |
| work_keys_str_mv | AT michaelifeanyifriday onaunifiedcategoricalsettingforhomologicaldiagramlemmas |