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Includes abstract.
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| Format: | Thesis |
| Language: | English |
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Department of Mathematics and Applied Mathematics
2015
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| _version_ | 1867613882897399808 |
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| access_status_str | Open Access |
| author | Wiggins, Harry |
| author2 | Ouwehand, Peter |
| author_browse | Ouwehand, Peter Wiggins, Harry |
| author_facet | Ouwehand, Peter Wiggins, Harry |
| author_sort | Wiggins, Harry |
| collection | Thesis |
| description | Includes abstract. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/11343 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:43:13.083Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2015 |
| publishDateRange | 2015 |
| publishDateSort | 2015 |
| publisher | Department of Mathematics and Applied Mathematics |
| publisherStr | Department of Mathematics and Applied Mathematics |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/11343 Factorization properties of universal algebras Wiggins, Harry Ouwehand, Peter Künzi, Hans-Peter A Gilmour, Christopher Robert Anderson Mathematics and Applied Mathematics Includes abstract. Includes bibliographical references (leaves 92-95). This dissertation deals with algebraic structures that can be written as the product of directly indecomposable algebras in a unique way up to isomorphism, known as the Unique Factorization Property. Here we undertake the task of collecting all the major results discovered by a few mathematicians (A. Tarski, B. J´onsson, R. Mckenzie, C. Chang, G. Birkhoff, L. Lovasz, etc.) over the past century. Another goal of this thesis was to highlight important and to introduce fresh techniques. The scope of most of them is still unknown and hopefully they can be utilised further to yield new results to revive this beautiful branch of mathematics. 2015-01-05T06:45:53Z 2015-01-05T06:45:53Z 2010 Master Thesis Masters MSc http://hdl.handle.net/11427/11343 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Mathematics and Applied Mathematics Wiggins, Harry Factorization properties of universal algebras |
| thesis_degree_str | Master's |
| title | Factorization properties of universal algebras |
| title_full | Factorization properties of universal algebras |
| title_fullStr | Factorization properties of universal algebras |
| title_full_unstemmed | Factorization properties of universal algebras |
| title_short | Factorization properties of universal algebras |
| title_sort | factorization properties of universal algebras |
| topic | Mathematics and Applied Mathematics |
| url | http://hdl.handle.net/11427/11343 |
| work_keys_str_mv | AT wigginsharry factorizationpropertiesofuniversalalgebras |