Factorization properties of universal algebras

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.

Grantor dc:publisher.institution

Department of Mathematics and Applied Mathematics

Year dc:date.issued

2010

Author dc:creator

• Wiggins, Harry

Advisors dc:contributor.advisor

• Ouwehand, Peter
• Künzi, Hans-Peter A
• Gilmour, Christopher Robert Anderson

Language dc:language.iso

eng

Handle dc:identifier.uri

http://hdl.handle.net/11427/11343

OAI identifier oai:identifier

oai:open.uct.ac.za:11427/11343