Factorization properties of universal algebras

 

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dc.contributor.advisor Ouwehand, Peter en_ZA
dc.contributor.advisor Künzi, Hans-Peter A en_ZA
dc.contributor.advisor Gilmour, Christopher Robert Anderson en_ZA
dc.contributor.author Wiggins, Harry en_ZA
dc.date.accessioned 2015-01-05T06:45:53Z
dc.date.available 2015-01-05T06:45:53Z
dc.date.issued 2010 en_ZA
dc.identifier.citation Wiggins, H. 2010. Factorization properties of universal algebras. University of Cape Town. en_ZA
dc.identifier.uri http://hdl.handle.net/11427/11343
dc.description Includes abstract. en_ZA
dc.description Includes bibliographical references (leaves 92-95). en_ZA
dc.description.abstract 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. en_ZA
dc.language.iso eng en_ZA
dc.subject.other Mathematics and Applied Mathematics en_ZA
dc.title Factorization properties of universal algebras en_ZA
dc.type Master Thesis
uct.type.publication Research en_ZA
uct.type.resource Thesis en_ZA
dc.publisher.institution University of Cape Town
dc.publisher.faculty Faculty of Science en_ZA
dc.publisher.department Department of Mathematics and Applied Mathematics en_ZA
dc.type.qualificationlevel Masters
dc.type.qualificationname MSc en_ZA
uct.type.filetype Text
uct.type.filetype Image
dc.identifier.apacitation Wiggins, H. (2010). <i>Factorization properties of universal algebras</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/11343 en_ZA
dc.identifier.chicagocitation Wiggins, Harry. <i>"Factorization properties of universal algebras."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2010. http://hdl.handle.net/11427/11343 en_ZA
dc.identifier.vancouvercitation Wiggins H. Factorization properties of universal algebras. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2010 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/11343 en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Wiggins, Harry AB - 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. DA - 2010 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 2010 T1 - Factorization properties of universal algebras TI - Factorization properties of universal algebras UR - http://hdl.handle.net/11427/11343 ER - en_ZA


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