Factorization properties of universal algebras

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dc.contributor.advisorOuwehand, Peteren_ZA
dc.contributor.advisorKünzi, Hans-Peter Aen_ZA
dc.contributor.advisorGilmour, Christopher Robert Andersonen_ZA
dc.contributor.authorWiggins, Harryen_ZA
dc.date.accessioned2015-01-05T06:45:53Z
dc.date.available2015-01-05T06:45:53Z
dc.date.issued2010en_ZA
dc.descriptionIncludes abstract.en_ZA
dc.descriptionIncludes bibliographical references (leaves 92-95).en_ZA
dc.description.abstractThis 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.identifier.apacitationWiggins, 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/11427/11343en_ZA
dc.identifier.chicagocitationWiggins, 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/11427/11343en_ZA
dc.identifier.citationWiggins, H. 2010. Factorization properties of universal algebras. University of Cape Town.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
dc.identifier.urihttp://hdl.handle.net/11427/11343
dc.identifier.vancouvercitationWiggins 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/11427/11343en_ZA
dc.language.isoengen_ZA
dc.publisher.departmentDepartment of Mathematics and Applied Mathematicsen_ZA
dc.publisher.facultyFaculty of Scienceen_ZA
dc.publisher.institutionUniversity of Cape Town
dc.subject.otherMathematics and Applied Mathematicsen_ZA
dc.titleFactorization properties of universal algebrasen_ZA
dc.typeMaster Thesis
dc.type.qualificationlevelMasters
dc.type.qualificationnameMScen_ZA
uct.type.filetypeText
uct.type.filetypeImage
uct.type.publicationResearchen_ZA
uct.type.resourceThesisen_ZA
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