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Factorization properties of universal algebras

Includes abstract.

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Bibliographic Details
Main Author: Wiggins, Harry
Other Authors: Ouwehand, Peter
Format: Thesis
Language:English
Published: Department of Mathematics and Applied Mathematics 2015
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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