Factorization properties of universal algebras

• Main Author: Wiggins, Harry
• Other Authors: Ouwehand, Peter
• Format: Dissertation
• Language: English
• Published: University of Cape Town 2015
• Subjects: Mathematics and Applied Mathematics
• Online Access: http://hdl.handle.net/11427/11343

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.