Factorization properties of universal algebras
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...
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ndltd-netd.ac.za-oai-union.ndltd.org-uct-oai-localhost-11427-113432020-10-06T05:11:40Z 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 University of Cape Town Faculty of Science Department of Mathematics and Applied Mathematics |
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English |
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Dissertation |
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Mathematics and Applied Mathematics |
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Mathematics and Applied Mathematics Wiggins, Harry Factorization properties of universal algebras |
description |
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. |
author2 |
Ouwehand, Peter |
author_facet |
Ouwehand, Peter Wiggins, Harry |
author |
Wiggins, Harry |
author_sort |
Wiggins, Harry |
title |
Factorization properties of universal algebras |
title_short |
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_sort |
factorization properties of universal algebras |
publisher |
University of Cape Town |
publishDate |
2015 |
url |
http://hdl.handle.net/11427/11343 |
work_keys_str_mv |
AT wigginsharry factorizationpropertiesofuniversalalgebras |
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1719349842999771136 |